→ zombiea:數論裡連分數也可給另一種證明 140.112.7.59 09/04
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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