Results 211 to 220 of about 128,862 (220)

Fractal Dimension

1993
Publisher Summary This chapter describes fractal dimensions. Fractal dimensions are various numbers associated with fractals, which can be used to compare them. Fractal dimensions provide an objective means for comparing fractals. Fractal dimensions are important because they can be defined in connection with real-world data, and they can be measured ...
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FRACTAL DIMENSIONS FOR MULTIPHASE FRACTAL MEDIA

Fractals, 2006
The simple expressions for the fractal dimensions of multiphase fractal media are derived and are found to be a function of porosity, phase content, ratio of the maximum to minimum pore sizes. There is no any empirical constant in the proposed fractal dimensions.
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Self-Affine Fractals and Fractal Dimension

Physica Scripta, 1985
Evaluating a fractal curve's approximate length by walking a compass defines a compass exponent. Long ago, I showed that for a self-similar curve (e.g., a model of coastline), the compass exponent coincides with all the other forms of the fractal dimension, e.g., the similarity, box or mass dimensions. Now walk a compass along a self-affine curve, such
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On the fractal dimensions of a combined fractal set

Physics Letters A, 1989
Abstract It is generally expected, that the fractal dimensions of a combined set are equal to the maximal ones among those of all component sets. This is true for e.g. the capacity, but some other fractal dimensions of the combined set may be equal to the minimal ones (e.g. the correlation exponent) or some “middle” ones (e.g.
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Fractality and Complex Dimensions

2012
In this chapter we discuss some more philosophical aspects of our theory of complex dimensions. In Section 12.1, we propose a new definition of fractality, involving the notion of complex dimension.
Machiel van Frankenhuijsen, Michel L. Lapidus   +1 more
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Fractal dimension in pharmacology

Pharmacological Research, 1992
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Fractal dimensions

2010
Mariusz Urbański, Feliks Przytycki
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Fractal dimension and local intrinsic dimension

Physical Review A, 1989
T Hediger, A Passamante, M Gollub
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Dimension of Fractal Functions

1994
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Fractal dimension and fracture

Nature, 1989
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