Topologies for point distributions
نویسنده
چکیده
The concepts of void and cluster for an arbitrary point distribution in a domain g are defined and characterized by some parameters such as volume, density, number of points belonging to them, shape, etc. After assigning a weight to each void and cluster-which is a function of its characteristics-the concept of distance between two point configurations Sl and Sz in g is introduced, both with and without the help of a lattice in the domain g. This defines a topology for the point distributions in g, which is different for the different characterizations of the voids and clusters.
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