Carathéodory theorem

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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.
References in periodicals archive ?
From Caratheodory theorem [psi] can be continuously extended to a function which is an one-to-one mapping from {[absolute value of z] = 1} onto C.