square_distance

square_distance, an Octave code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit square in 2D.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

square_distance is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

square_distance_test

octave_distance, an Octave 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.

Reference:

• Paul Nahin,
  Will You Be Alive 10 Years From Now?,
  Princeton, 2014,
  ISBN: 978-0691156804.
• Eric Weisstein,
  Square Line Picking,
  From MathWorld--A Wolfram Web Resource,
  https://mathworld.wolfram.com/SquareLinePicking.html

Source Code:

• square_distance_histogram.m, displays a histogram from N samples of pairwise distances.
• square_distance_pdf.m, displays a plot of the exact PDF of the pairwise distances.
• square_distance_stats.m, estimates the mean and variance of the pairwise distance, using sampling.
• square_unit_sample.m, returns a random point in the unit square.