作者PttFund (批踢踢基金只进不出)
看板Math
标题[分析] 高微(21)
时间Sun Aug 21 09:59:16 2005
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, 不确定||)
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