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Definition 21.7.1B45BB086BF76

Definition 21.7.1.B45BB086BF76 The Hausdorff distance between convex bodies $K,L\subset M_{\mathbb R}$ is

\[ d_{\mathrm H}(K,L)=\max \left\{ \sup _{p\in K}\operatorname {dist}(p,L), \sup _{q\in L}\operatorname {dist}(q,K)\right\} . \]
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