Hausdorff metric (suomeksi)

Määritelmät:

(lb, en, analysis) 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 $\rho(A,B) = \sup_{a\in A} \inf_{b\in B} \, d(a,b)$ , where ''d'' is the Euclidean metric in $\mathbb{R}^n$ .