明任意a, b, a < b, 必存在有理x, a < x < b; 必存在理y, a < y < b? - V2EX
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明任意a, b, a < b, 必存在有理x, a < x < b; 必存在理y, a < y < b?

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  •   013231 Jul 4, 2013 5379 views
    This topic created in 4695 days ago, the information mentioned may be changed or developed.
    Supplement 1    Jul 4, 2013
    s//怎/
  • 明
  • 理
    1 replies    1970-01-01 08:00:00 +08:00
    kuphrer
        1
    kuphrer  
       Jul 4, 2013   1
    用戴德金公理：
    取b和a的集合差，任取一个x即可，y自己想

    用等价的小数表示公理：
    截取b与a的小数表示第一个不同的小数位，得到的有理数为x，y自己想
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