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Logic & Puzzles

If a point lies strictly inside a convex hull constructed from a set of points, which consequence follows?

A)Point contributes to next hull
B)No circumcircle contains the point
C)Point is a linear combination
D)Gradient search will diverge

💡 Explanation

If a point is strictly within the convex hull, it can be expressed as a linear combination of the hull's vertices; this is due to the properties of convexity. Therefore, it must be a linear combination, rather than contributing to subsequent hulls or affecting circumcircles, which are relevant for Delaunay triangulations.

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