%0 Journal Article
%T Mean Width of a Regular Simplex
%A Steven R. Finch
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1111.4976v1