[分析] 1-1 onto 的問題

看板Math作者 (魯丁.嗚嗚溜溜)時間14年前 (2011/03/27 12:34), 編輯推噓2(2推 0噓 5→)
留言7則, 3人參與, 最新討論串1/2 (看更多)
Is there a function from (0,1) onto [0,1] ? Prove or disprove it. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 59.127.20.9
→
03/27 13:11, , 1F
f:(0,1) -> [0,1] 1-1 and onto
03/27 13:11, 1F
→
03/27 13:15, , 2F
是嗎?
03/27 13:15, 2F
→
03/27 13:21, , 3F
f連續 ->沒有 , f不連續 ->有
03/27 13:21, 3F
推
03/27 15:33, , 4F
fix irrational number, shift rational number by 2
03/27 15:33, 4F
→
03/27 15:34, , 5F
by countability of rational number
03/27 15:34, 5F
推
03/27 17:05, , 6F
sin(4x)
03/27 17:05, 6F
→
03/27 17:07, , 7F
...沒看到1-1 囧
03/27 17:07, 7F
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文章代碼(AID): #1DZhuvrW (Math)
‣ 更多 Rudin5566 的文章
文章代碼(AID): #1DZhuvrW (Math)