论文标题
奇数持续分数算法
Odd-odd continued fraction algorithm
论文作者
论文摘要
通过使用与Romik映射相关的跳跃转换，我们定义了一种称为ODD-ODD的新的持续分数算法，其主要收敛是奇数分母和奇数分子的合理数量。除其他外，事实证明，奇数分母的所有最佳近似理性和非理性数字的奇数分子是由Odd-ODD持续分数算法的主要收敛剂给出的，反之亦然。
By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational numbers of odd denominators and odd numerators. Among others, it is proved that all the best approximating rationals of odd denominators and odd numerators of an irrational number are given by the principal convergents of the odd-odd continued fraction algorithm and vice versa.
