[分析] about measurable set
Let E be bounded measurable set of real numbers.
Suppose there is a bounded,countably infinite set of real number Λ
for which the collection of translate of E ,{λ+E} ,λinΛ,is disjoint .
Then m(E)=00
Q1: 是 {λ+E} for all λ is disjoint.還是？
Q2: 如果 Λ is finite or uncountable, 為什麼不會成立？
Q3: 如果 Λ is unbounded 會成立嗎？
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◆ From: 124.9.204.94
推
11/04 21:17, , 1F
11/04 21:17, 1F
→
11/04 21:18, , 2F
11/04 21:18, 2F
※ 編輯: pop10353 來自: 124.9.204.94 (11/04 21:24)
推
11/04 21:24, , 3F
11/04 21:24, 3F
→
11/04 21:25, , 4F
11/04 21:25, 4F
→
11/04 21:32, , 5F
11/04 21:32, 5F
→
11/04 21:42, , 6F
11/04 21:42, 6F
→
11/04 21:42, , 7F
11/04 21:42, 7F
請問可以說詳細點嗎?
※ 編輯: pop10353 來自: 124.9.204.94 (11/04 21:45)
推
11/05 20:17, , 8F
11/05 20:17, 8F
→
11/05 22:41, , 9F
11/05 22:41, 9F
→
11/05 22:42, , 10F
11/05 22:42, 10F
→
11/05 22:44, , 11F
11/05 22:44, 11F
→
08/13 17:12, , 12F
08/13 17:12, 12F
→
09/17 15:07, , 13F
09/17 15:07, 13F
→
11/10 10:55, , 14F
11/10 10:55, 14F