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Fundamental Concepts and Definitions

  • L. T. Fan
  • D. Neogi
  • M. Yashima
Part of the Lecture Notes in Chemistry book series (LNC, volume 55)

Abstract

The fractal dimension is discussed by Mandelbrot [1] in his book by contrasting it to the topological or Euclidean dimension. Thus, prior to defining the fractal dimension, the topological and Euclidean dimensions will be briefly discussed [4].

Keywords

Fractal Dimension Topological Dimension Hausdorff Dimension Similarity Ratio Rectangular Parallelepiped 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • L. T. Fan
    • 1
  • D. Neogi
    • 2
  • M. Yashima
    • 3
  1. 1.Department of Chemical EngineeringKansas State UniversityManhattanUSA
  2. 2.Air Products and Chemicals, Inc.AllentownUSA
  3. 3.Department of StatisticsKansas State UniversityManhattanUSA

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