square_distance

square_distance, a Python code which computes the expected value of the distance between a pair of points randomly selected inside the unit square in 2D.

Licensing:

The information on this web page is 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:

python_distance, a Python 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.py, the source code.
• square_distance.sh, runs all the tests.
• square_distance.txt, the output file.

• square_distance_compare.png, compares observed and theoretical values of the PDF.
• square_distance_histogram.png, a histogram of the sample results.
• square_distance_pdf.png, a plot of the theoretical probability density function.