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Mathematics, 22.04.2020 03:59 rylee87

6 The distance between two points p1 = (x1, y1) and p2 = (x2, y2) on the plane can be defined in many different ways. We introduce the following three distances: d1(p1, p2) = |x1 βˆ’ x2| + |y1 βˆ’ y2| d2(p1, p2) = q (x1 βˆ’ x2) 2 + (y1 βˆ’ y2) 2 d3(p1, p2) = max{|x1 βˆ’ x2|, |y1 βˆ’ y2|} For each of these distances compute the maximum number of points that have to be checked for each point x ∈ PL ∩ Z in the nearest neighbors algorithm.

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