Definition of extreme points:
(n) :
(mathematics) The maximum or minimum of a function.
(n) :
(mathematics) A point in a convex set which does not lie in any open line segment joining two points in the set.
(n) :
A point that is physically located farthest in the direction of the edge of something.
(n) :
A standpoint that goes farthest in some dimension or on some criterion.
(n) :
(mathematics) A leaf vertex of a tree data structure.