作者PttFund (批踢踢基金只進不出)
看板Math
標題[分析] 高微(8)
時間Sat Jul 23 03:43:39 2005
Let S ={ m + na | a in R-Q, m,n in Z }. Show that S is dense
in R.
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※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 140.112.218.142
1F：推 zombiea:先考慮na dense in (0,1) 218.175.92.177 07/23
2F：→ zombiea:exist n>0 minimum such that na>1 (n-1)a<1 218.175.92.177 07/23
3F：→ zombiea:set na-1=a_1 consider ma_1 again 218.175.92.177 07/23
4F：→ zombiea:一開始改成na mod 1 dense in (0,1) 218.175.92.177 07/23
5F：→ zombiea:continue this manner Q.E.D 218.175.92.177 07/23