Applied Mathematics and Mechanics

, Volume 18, Issue 5, pp 463–470 | Cite as

The condition for applying Slit Island Method

  • Wei Yiqiang
  • Li Qingshi
  • Cai Zhongmin


In this paper, in view of the discussion of the Hausdorff and Box fractal dimensions and measures which are frequently applied, the concept of the girth to area normal ratio is introduced for the first time and the correct mathematical description of SIM together with its proof, the sufficient condition for applying SIM and the improvement version of SIM are presented.

Key words

Hausdorff dimensions Hausdorff measures Box dimensions girth to area normal ratio, SIM 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1980

Authors and Affiliations

  • Wei Yiqiang
    • 1
  • Li Qingshi
    • 1
  • Cai Zhongmin
    • 1
  1. 1.Taiyuan University of TechnologyTaiyuanPR China

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