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Hausdorff Dimension

  • Gerald A. Edgar
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Next we come to the “Hausdorff dimension”. This is the dimension singled out by Mandelbrot when he defined “fractal”. It is perhaps a bit more difficult to define than some of the other kinds of dimension that have been (and will be) considered. But it is also the most useful of the fractal dimensions.

Keywords

Fractal Dimension Hausdorff Dimension Fractal Geometry Iterate Function System Outer Measure 
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 Science+Business Media New York 1990

Authors and Affiliations

  • Gerald A. Edgar
    • 1
  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

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