permutation_distance, a MATLAB code which estimates the expected value of the Ulam distance between a pair of randomly selected permutations of the same order.
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permutation_distance is available in a MATLAB version and an Octave version and a Python version.
matlab_distance, a MATLAB code which estimates the typical distance between a pair of points randomly selected from the surface or interior of a geometric object such as a circle, disk, sphere, cube.