| 由有理数Cauchy列定义的实数的无限十进小数展开 |
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| 引用本文： | 陈同舟,许斌. 由有理数Cauchy列定义的实数的无限十进小数展开[J]. 大学数学, 2011, 27(4): 186-191 |
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| 作者姓名： | 陈同舟 许斌 |
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| 作者单位： | 中国科学技术大学,合肥,230026 |
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| 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.
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| 关 键 词： | 无限十进小数 实数系 算术运算 |
The Infinite Decimal Expansion of the Real Numbers Defined by the Cauchy Sequences of Rational Numbers |
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| CHEN Tong-zhou,XU Bin. The Infinite Decimal Expansion of the Real Numbers Defined by the Cauchy Sequences of Rational Numbers[J]. College Mathematics, 2011, 27(4): 186-191 |
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| Authors: | CHEN Tong-zhou XU Bin |
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| Affiliation: | CHEN Tong-zhou,XU Bin(University of Science and Technology of China,Hefei 230026,China) |
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| Abstract: | 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. |
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| Keywords: | infinite decimals real numbers arithmetical operations |
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