Fractals and Chaos Simplified for the Life Sciences

2017-07-07 02:10:07

[Cover] [Abbreviated Contents] [Contents] [Index]

Page 45



		Dimension



		1.4.1



		Dimension: A Quantitative Measure of Self-Similarity and Scaling



		1.4.2



		The Simplest Fractal Dimension: The Self-Similarity Dimension



		1.4.3



		More General Fractal Dimensions: The Capacity Dimension



		1.4.4



		More General Fractal Dimensions: The Hausdorff-Besicovitch Dimension



		1.4.5



		Example of Determining the Fractal Dimension: Using the Self-Similarity Dimension



		1.4.6



		Example of Determining the Fractal Dimension: Using the Capacity Dimension and Box Counting



		1.4.7



		Example of Determining the Fractal Dimension: Using the Scaling Relationship



		1.4.8



		The Topological Dimension



		1.4.9



		The Embedding Dimension



		1.4.10



		Definition of a Fractal



		1.4.11



		Example of the Fractal Dimension: Blood Vessels in the Lungs



		1.4.12



		More Examples of the Fractal Dimension



		1.4.13



		Biological Implications of the Fractal Dimension

[Cover] [Abbreviated Contents] [Contents] [Index]

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