精華區beta Math 關於我們 聯絡資訊
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 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.113.68.60
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