[分析] 初微(62)

看板Math作者 (批踢踢基金)時間20年前 (2005/09/03 15:28), 編輯推噓0(001)
留言1則, 1人參與, 最新討論串1/1
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. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.218.142

140.112.7.59 09/04, , 1F
數論裡連分數也可給另一種證明
140.112.7.59 09/04, 1F
文章代碼(AID): #136L2vdm (Math)