extreme point noun5 •A point that is physically located farthest in the direction of the edge of something.He measured bases on shore by running a ten-foot rod along a cord stretched tight between the extreme points, and kept in position by stakes, the direction being verified by a telescope. — 2015 •A standpoint that goes farthest in some dimension or on some criterion.Any claim that they violate her right to freedom in not applying heroic measures is one of the extreme points of ethical absurdity. — 2007 •The maximum or minimum of a function.At first glance, degeneracy, a concept based on properties of extreme point solutions, does not seem to be as serious a problem for IPMs as it is for simplex methods. — 2001 •A point in a convex set which does not lie in any open line segment joining two points in the set.For convex cones, the concept of an extreme point is not of much use, since the origin would be the only candidate for an extreme point. — 1970 •A leaf vertex of a tree data structure. formsextreme points
