Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (5): 463-470.

• 论文 • 上一篇    下一篇

THE CONDITION FOR APPLYING SLIT ISLAND METHOD

魏毅强, 李庆士, 蔡中民   

  1. Taiyuan University of Technology, Taiyuan 030024, P. R. China
  • 收稿日期:1995-04-07 出版日期:1997-05-18 发布日期:1997-05-18
  • 基金资助:
    Project supported by Youth Science Foundation of Shanxi

THE CONDITION FOR APPLYING SLIT ISLAND METHOD

Wei Yiqiang, Li Qingshi, Cai Zhongmin   

  1. Taiyuan University of Technology, Taiyuan 030024, .P. R. China
  • Received:1995-04-07 Online:1997-05-18 Published:1997-05-18
  • Supported by:
    Project supported by Youth Science Foundation of Shanxi

摘要: In this paper. in view of the discussion of the Hausdorff and Box fractaldimensions and measures which are frequently applied, the concept of the girth to areanormal ratio is introduced for the first time and the correct mathematical descriptionof SIM together with its proof, the sufficient condition for applying SIM and theimprovement version of SIM are presented.

Abstract: In this paper. in view of the discussion of the Hausdorff and Box fractaldimensions and measures which are frequently applied, the concept of the girth to areanormal ratio is introduced for the first time and the correct mathematical descriptionof SIM together with its proof, the sufficient condition for applying SIM and theimprovement version of SIM are presented.

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