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Fractal Geometry of a Dendrogram

Fractal Geometry of a Dendrogram
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摘要 The fractal structure shown by the poligonal created by unions of middle points of vertices, nodes or peaks of dendograms terminal classes is presented. Its generating fractal, the details of its construction, and the way to measure its segments are defined; its property of inverted scale, the type of meshing, its property of axial symmetry and a theorem on transformation of linear affinity are considered. This is exemplified by means of one application with real data.
出处 《Journal of Mathematics and System Science》 2014年第1期14-18,共5页 数学和系统科学(英文版)
关键词 DENDROGRAM FRACTAL axial symmetry engenderer. 分形几何 分形结构 网格划分 应用程序 中间点 轴对称 亲和力 财产
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参考文献5

  • 1N. Lesrnoir-Gordon, W. Rood, R. Edney, Introducing Fractals: A Graphic Guide, Gutenberg Press, Malta, 2009.
  • 2B.B. Mandelbrot, Multifractals and IIf Noise, Springer-Verlag, 1999.
  • 3K. Falconer, Fractal Geometry. Mathematical Foundations and Applications, Seconde Edition, Wiley, 2003.
  • 4Benoit 1.3. 2008. TruSoft Intl Inc. USA. www.trusoft.com.
  • 5F. Casanova-del-Angel, R. Toquiantzi Butron, Corrosion phases of structural shapes exposed to the atmosphere, Corrosion Science, 8 (50) (2008) 2288-2295.

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