Can a finite set of 2n distinct points in a two-dimensional


Can a finite set of 2N distinct points in a two-dimensional space be split in half by a straight line

• if the points are in general position?

• if the points are not in general position?

Can 2N points in a K dimensional space be split in half by a K - 1 dimensional hyperplane?

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Physics: Can a finite set of 2n distinct points in a two-dimensional
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