engleski

Applications of convex combinations

The article demonstrates the application of convex combinations in determining the center of scalar quantity on a finite set. The same procedure can be applied to countable sets. The observing is extended to sets with uncountable number of points, more specifically, to sets with positive volume. In this continuous case, the barycenter of quantity function is defined using the integral method with convex combinations.

convex set ; convex combination ; quantity center ; quantity function barycenter

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