Kirchberger's theorem

id: kirchberger-s-theorem-270-13990383
title: Kirchberger's theorem
text: Kirchberger's theorem is a theorem in discrete geometry, on linear separability. The two-dimensional version of the theorem states that, if a finite set of red and blue points in the Euclidean plane has the property that, for every four points, there exists a line separating the red and blue points within those four, then there exists a single line separating all the red points from all the blue points. Donald Watson phrases this result more colorfully, with a farmyard analogy: More generally, f
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Kirchberger%27s_theorem
date created:
date modified: 2023-11-27T18:43:00Z
main entity: {"identifier":"Q31838822","url":"https://www.wikidata.org/entity/Q31838822"}
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integrity: 13

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