triangle_distance, a Python code which computes the expected value of the distance between a pair of points randomly selected in a triangle.
This problem is notably more complicated than when the sampling region is a square. In particular, the probability density function for the distance seems to be known only for special cases, such as a right triangle or equilateral triangle.
The computer code and data files made available on this web page are distributed under the GNU LGPL license.
triangle_distance is available in a MATLAB version and a Python version.
ball_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit ball in 3D.
circle_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the circumference of the unit circle in 2D.
cube_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit cube.
disk_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit disk in 2D.
hyperball_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit hyperball in M dimensions.
hypersphere_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the unit hypersphere in M dimensions.
line_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected in the unit line segment.
normal01_multivariate_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected from an isotropic standard normal distribution in M dimensions.
sphere_distance, a Python code which considers the problem of describing the typical value of the distance between a pair of points randomly selected on the unit sphere in 3D.
square_distance, a Python 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.