extreme point

Definitions

1. 1

   A point in a convex set which does not lie in any open line segment joining two points in…

   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.
2. 2

   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.
3. 3

   A leaf vertex of a tree data structure.

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   1. 4

      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.
   2. 5

      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.
      • Their extreme points will be called consent-dissent, in relation to beliefs, and compliance-radicalism, in relation to behavior.

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