Mean Width of a Regular Simplex
Metric Geometry
2016-03-15 v2 Probability
Abstract
The mean width is a measure on n-dimensional convex bodies. An integral formula for the mean width of a regular n-simplex appeared in the electrical engineering literature in 1997. As a consequence, expressions for the expected range of a sample of n+1 normally distributed variables, for n<=6, carry over to widths of regular n-simplices. As another consequence, precise asymptotics for the mean width become available as n->infty.
Cite
@article{arxiv.1111.4976,
title = {Mean Width of a Regular Simplex},
author = {Steven R. Finch},
journal= {arXiv preprint arXiv:1111.4976},
year = {2016}
}
Comments
12 pages