hypersphere_positive_distance

hypersphere_positive_distance, a Python code which estimates the expected value of the distance between a pair of points randomly selected on the unit positive hypersphere in M dimensions.

Licensing:

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

Languages:

hypersphere_positive_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:

• John D Cook,
  Random points in a high-dimensional orthant,
  Posted 9 August 2023,
  https://www.johndcook.com/blog/2023/08/09/random-points-hypersphere-orthant/

Source Code:

• hypersphere_positive_distance.py, the source code.
• hypersphere_positive_distance.sh, runs all the tests.
• hypersphere_positive_distance.txt, the output file.

• hypersphere_positive_distance_histogram.png, a histogram of the sample results.