Fractal-dimension meaning

(analysis) A dimension in which it is the most suitable to make measurements on a fractal set.

The perimeter of Britain measured in the first dimension yields infinity, and measured in the second dimension yields zero, so it has to be measured in a fractal dimension of approximately 1.25.

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Capacity dimension.
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Correlation dimension.
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Hausdorff dimension.
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Information dimension.
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Lyapunov dimension.
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Minkowski-Bouligand dimension.
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Fractal-dimension Sentence Examples

  • The other dimension that is often spoken of is the fractal dimension which tells you about how complicated the structure is.

  • A method of texture segmentation is introduced which is based on the Fractal Dimension.

  • Describe how Lyapunov exponents can be used to determine the fractal dimension of a strange attractor in a dissipative system.

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Words near fractal-dimension in the Dictionary