Which mathematical principle is associated with Carathéodory?
Carathéodory's Principle
Pascal's Law
Newton's Method
Euler's Formula
Answer
Carathéodory's Principle states that any point in the convex hull of a set of points can be expressed as a convex combination of at most n of those points, where n is the dimension of the space. This principle is fundamental in convex geometry and has applications in optimization, economics, and other fields.
Mastering the Mind of Constantin Carathéodory: A Mathematical Adventure
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