[分析] 高微(21)

[PttFund (批踢踢基金只進不出)]

For any two bounded sets E_1, E_2 of R^n, define

        d(E_1,E_2) = min {    sup   (    inf   |x-y| ),
                           y in E_2   x in E_1

                              sup   (    inf   |x-y| ) }
                           x in E_1   y in E_2

Show that for any three bounded sets E_1, E_2, E_3, we have
d(E_1,E_2) + d(E_2,E_3) ≧ d(E_1,E_3).

 (上面的 min 可能是 max, 不確定||)

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