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齐次cantor集与偏齐次cantor集的关系 被引量:1

Relationship between homogeneous cantor set and partial homogeneous cantor set
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摘要 利用投影的方法得到了在一定条件下,齐次Cantor集与偏齐次Cantor集是可以相等的,并给出了具体的结论和证明. In order to obtain the relationship between homogeneous Cantor set and partial homogeneous Cantor set, this article used the the method of projection, obtaining the result that the homogeneous Cantor set can be equal to the partial homogeneous Cantor set under the controlled condition, this article has given the concrete conclusion and certificate finally.
作者 庄国平
出处 《阜阳师范学院学报(自然科学版)》 2009年第4期39-40,44,共3页 Journal of Fuyang Normal University(Natural Science)
关键词 齐次MORAN集 齐次CANTOR集 偏齐次Cantor集 homogeneous moran set homogeneous cantor set partial homogeneous cantor set
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参考文献5

  • 1Hui Rao,Zhiying Wen,Jun Wu.Net measure properties of Moran sets and applications[J].Chinese Science Bulletin,1998,43(5):386-389. 被引量:3
  • 2QU Cheng-qin, SU Wei-yi, XU yong. Hausdorff dimensions of homogeneous Moran sets in R^n[J]. Acta Math,1999,42(5):1 005-1 008.
  • 3Mandelbort B B. The fraetal geometry of nature freeman[M]. San Francisco, 1982.
  • 4Falconer k. Fractal Geometry Mathematical Foundation and Application [M]. New York: Tohn Wiley&Sons, 19 9 0.
  • 5FENG De-jun, WEN Zhi-ying, WU Jun. Dimensions of the homogenemous Moran sets[J]. Science of China(Series A), 1997,40(5) :475-482.

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