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Algorithm to measure symmetry and positional entropy of a data set

  • US 20080159631A1
  • Filed: 03/09/2007
  • Published: 07/03/2008
  • Est. Priority Date: 01/03/2007
  • Status: Active Grant
First Claim
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1. A computer program operable in response to an input of a set of N points to measure symmetry among said points, so as to determine positional entropy of said set of N points, said program comprising the steps of:

  • receiving coordinates for each of said N points;

    calculating a set of a maximum of N(N−

    1)/2 pairs of distances within said points;

    calculating local symmetry;

    calculating global symmetry to determine a set of occupation numbers;

    determining from said occupation numbers a total symmetry and un-normalized positional entropy deficit;

    and determining a positional entropy value of said set of N points.

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