Definitions from Wiktionary (extreme point)

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


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