Hausdorff metric

Noun

 * 1)  In the abstract metric space of all compact subsets of $$ \mathbb{R}^n$$, given a pair of compact sets A and B, the Hausdorff metric is $$ h(A,B) = \mbox{max} \{\rho(A,B), \rho(B,A)\}$$ where, where d is the Euclidean metric in $$ \mathbb{R}^n$$.