**hypercube_surface_distance**,
a MATLAB code which
estimates the expected value of the distance
between a pair of points randomly selected
on the surface of the unit hypercube in D dimensions.

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

**hypercube_surface_distance** is available in
a MATLAB version.

ball_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the unit ball in 3D.

circle_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected on the circumference of the unit circle in 2D.

cube_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the unit cube in 3D.

cube_surface_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected on the surface of the unit cube.

disk_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the unit disk in 2D.

ellipse_distance, a MATLAB code which computes the expected value of the distance between a pair of points randomly selected on the circumference of the ellipse (x/a)^2+(y/b)^2=1 in 2D.

hyperball_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the unit hyperball in M dimensions.

hypercube_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the M-dimensional unit hypercube.

hypercube_surface_distance_test

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

line_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in the unit line segment in 1D.

normal01_multivariate_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected from an isotropic standard normal distribution in M dimensions.

polygon_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected from a polygon in 2D.

sphere_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected on the surface of the unit sphere in 3D.

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

square_surface_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected on the surface of the unit square.

subset_distance, a MATLAB code which estimates the expected value of the Hamming distance between a pair of randomly selected subsets of an M set.

triangle_distance, a MATLAB code which estimates the expected value of the distance between a pair of points randomly selected in a triangle in 2D.

- hypercube_surface_distance_histogram.m, displays a histogram of sampled distances between a random pair of points on the surface of the unit hypercube in D dimensions.
- hypercube_surface_distance_stats.m, estimates the mean and variance of the distance between a random pair of points on the surface of the unit hypercube in D dimensions.
- hypercube_surface_sample.m, returns random points on the surface of the unit hypercube in D dimensions.