### Definition of Hausdorff metric

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

¹ Source: wiktionary.com

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### Lexicographical Neighbors of Hausdorff Metric

 HattieHattiesburgHaubenfelderHauchHaudek's nicheHaulerHaumeaHaunebuHauptmannianHaurvatat HausaHausa Sign LanguageHausdorffHausdorff contentHausdorff dimensionHausdorff metric (current term)Hausdorff spaceHausdorffnessHausfrauHausfraus HausmaistasHaussaHaussmannizationHaussmannizationsHaute-LoireHaute-NormandieHaute-VienneHavanaHavana BrownHavanan