The K-function, or K statistic, is a tool used in spatial statistics to analyze the distribution of points in a given space. It is particularly useful in evaluating whether the spatial pattern of points in a dataset is clustered, random, or dispersed. The K-function is defined for a specific radius \( r \) and is calculated as follows: 1. For each point in the dataset, determine how many other points lie within a distance \( r \).

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