一个具有分维的曲线可以把度量尺度 L、分维 D 和用 L 量得的该曲线的长度 P 联系起来,即P～1/L~D (1)对于海岸线,D 的范围是1≤D≤2,一般来说,D 值较小时,海岸线较平滑;D 值较大时,海岸线则较为曲折。一个三分之一分法的康托尔(Cantor)集合,同样可以把度量尺度 r、分维 D 和用 r 度量时不为空的个数 N 联系起来,即N～1/r~D (2)对均匀分布,如在一段时间 T_0中有 N 次 A fractal dimension curve can relate the metric scale L, the fractal dimension D and the length P of the curve obtained by L. That is, P ~ 1 / L ~ D (1) For the shoreline, the range of D is 1≤D ≤2, in general, the coastline is smoother when the value of D is smaller; when the value of D is larger, the coastline is more tortuous. The Cantor set of one-third dichotomies can also relate the measure r, the fractal dimension D to the number n, which is not empty when r measures, ie N ~ 1 / r ~ D ( 2) For uniform distribution, such as N times in a period of time T_0