作者PttFund (批踢踢基金)
看板Math
標題[分析] 初微(62)
時間Sat Sep 3 15:30:58 2005
If x in R\Q, prove that there exists infinitely many rational
numbers h/k with k > 0 such that |x - h/k| < 1/k^2.
Note:
It can be used to prove the following useful lemma: Let r be in R\Q.
Let S = { nr+m : m and n in Z } be a subset of R. Thus we have S
is dense in R.
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