Normalized Hamming distance
= Normalized Hamming distance
{title2=$\overline d_H(x,y)=d_H(x,y)/n$}
On binary words of length $n$, <normalized Hamming distance> is the fraction of differing coordinates. Unlike unscaled <Hamming distance>, it makes the <Hamming cubes> a <Lévy family> under uniform <probability measures>.