Definition:Radon Point
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Definition
Let $S$ be a set of $n + 2$ points in a real Euclidean space $\R^n$ of $n$ dimensions.
Let $S$ be partitioned into $2$ subsets whose convex hulls have at least one point in their intersection.
Such a point of intersection is known as a Radon point of $S$.
Also see
- Radon's Theorem: for such a set $S$, a partition with a non-empty subset can always be constructed
- Results about Radon points can be found here.
Source of Name
This entry was named for Johann Karl August Radon.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Radon's theorem