Carathéodory theorem

Carathéodory theorem

[‚‚kär·ə‚tā·ə′dȯr·ē ‚thir·əm]
(mathematics)
The theorem that each point of the convex span of a set in an n-dimensional Euclidean space is a convex linear combination of points in that set.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.