[分析] 高微(8)

[PttFund (批踢踢基金只進不出)]

Let S ={ m + na | a in R-Q, m,n in Z }.  Show that S is dense
in R.

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◆ From: 140.112.218.142
推 zombiea:先考慮na dense in (0,1)
→ zombiea:exist n>0 minimum such that na>1 (n-1)a<1
→ zombiea:set na-1=a_1 consider ma_1 again
→ zombiea:一開始改成na mod 1 dense in (0,1)
→ zombiea:continue this manner  Q.E.D