由有理数Cauchy列定义的实数的无限十进小数展开  

The Infinite Decimal Expansion of the Real Numbers Defined by the Cauchy Sequences of Rational Numbers

作　　者：陈同舟[1] 许斌[1] 

机构地区：[1]中国科学技术大学,合肥230026

出　　处：《大学数学》2011年第4期186-191,共6页College Mathematics

摘　　要：讨论了有理数Cauchy列定义的实数系的一种等价形式———无限十进小数展开,定义了其上的算术运算与顺序并证明了它们和已有的定义一致.We discuss an equivalent of the real numbers defined by the Cauchy sequences of rational numbers,the infinite decimal expansion.We also define the arithmetic operations as well as the order on it and prove that the definitions are consistent with the original ones.

关 键 词：无限十进小数 实数系 算术运算 

分 类 号：O171[理学—数学]