作者CR950111 (紫泣)
看板Math
標題[離散] sequence & sums 的一題習題
時間Fri Apr 9 02:41:22 2010
Show that the set of functions from the positive
intergers to the set {0,1,2,3,4,5,6,7,8,9} is uncountable.
[Hint First set up a one to one correspondence between the set of
real number between 0 and 1 and a subset of these functions.
Do this by associating to the real number 0.d1d2....dn...
the function f with f(n)=dn]
拜託版友了>"<
明天要交作業但這題想不出來
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→ yhliu :就像證明 (0,1] 是不可數一樣的方法. 04/09 07:06
→ yhliu :其實, "hint" 已經很清楚告訴你怎麼做了! 04/09 07:10