作者Rudin5566 (魯丁.嗚嗚溜溜)
看板Math
標題[分析] 1-1 onto 的問題
時間Sun Mar 27 12:33:59 2011
Is there a function from (0,1) onto [0,1] ? Prove or disprove it.
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◆ From: 59.127.20.9
1F：→ keroro321 :f:(0,1) -> [0,1] 1-1 and onto 03/27 13:11
2F：→ keroro321 :是嗎? 03/27 13:15
3F：→ keroro321 :f連續 ->沒有 , f不連續 ->有 03/27 13:21
4F：推 zombiea :fix irrational number, shift rational number by 2 03/27 15:33
5F：→ zombiea :by countability of rational number 03/27 15:34
6F：推 CNSaya :sin(4x) 03/27 17:05
7F：→ CNSaya :...沒看到1-1 囧 03/27 17:07