论文标题
实数的规范Cauchy序列
Canonical Cauchy sequences for real numbers
论文作者
论文摘要
基于持续的减法分数，我们将带有所有术语的无限整数序列集的实数集，但第一个术语大于两个或等于两个。每个这样的序列都以规范的方式产生一种独特的严格降低有理数的凯奇序列，从而收敛到相应的实际数字。对应关系使实数的标准顺序转化为序列的词典学顺序。
Based on continued fractions with subtractions, we identify the set of real numbers with the set of infinite integer sequences with all terms but the first one greater or equal to two. Each such sequence produces in a canonical way a unique strictly decreasing Cauchy sequence of rationals which converges to the corresponding real number. The correspondence is such that the standard order of real numbers is translated to the lexicographic order of sequences.
