Fundamental Concepts and Definitions

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


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].


Fractal Dimension Topological Dimension Hausdorff Dimension Similarity Ratio Rectangular Parallelepiped 
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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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