摘要
连分数的展开式具有结构上的自相似性,部分商满足一定条件的连分数构成的集合是分形集,通过构造迭代映射的方法估算其Hausdorff维数.
Continued fraction expansion has such type structure as the self-similarity fractal sets ,its partial quotientwhicd meets some certain conditions is a fractal set, Haussdorff dimension can estimated by the means of construingiterative mapping method.
出处
《红河学院学报》
2014年第5期26-29,共4页
Journal of Honghe University
关键词
分形
连分数
部分商
HAUSDORFF维数
fractal geometry
continued fraction
partial quotient
Hausdorff dimension
