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Cell surfaces and fractal dimensions
Journal of Microscopy, 1991SUMMARYThe perimeters of the surface membranes of some different cell types have been digitized from electron micrographs and the data analysed in order to discover whether the perimeter can be described by a fractal dimension, df. Micrographs obtained at various magnifications and subsequently enlarged by different amounts have been used. Values of df
K M, Keough +3 more
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Fractal dimension of semiconducting fractal sensors
2004 14th International Crimean Conference "Microwave and Telecommunication Technology" (IEEE Cat. No.04EX843), 2004Metal oxides are used for analysis of gas in the air in nano-dispersion semiconducting sensors developed in recent years. The fractal dimension of such a semiconductor sufficiently influences the character of the electrical conductivity and hence the sensitivity and operating speed of the sensor.
G. Danik +3 more
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Spectral dimension of fractal trees
Physical Review E, 1995We present in detail a calculation of the spectral dimension for a class of fractal trees called ${\mathrm{NT}}_{\mathit{D}}$ (i.e., ``nice trees of dimension D,'' defined as trees whose branches are splitting in r every time the distance from the origin is doubled, where r is an integer greater than 1) which presents nonanomalous diffusion.
BURIONI, Raffaella, CASSI, Davide
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Mathematical Logic Quarterly, 2004
AbstractClassical fractal dimensions (Hausdorff dimension and packing dimension) have recently been effectivized by (i) characterizing them in terms of real‐valued functions called gales, and (ii) imposing computability and complexity constraints on these gales.
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AbstractClassical fractal dimensions (Hausdorff dimension and packing dimension) have recently been effectivized by (i) characterizing them in terms of real‐valued functions called gales, and (ii) imposing computability and complexity constraints on these gales.
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Signal characterization using Fractal Dimension
TENCON 2008 - 2008 IEEE Region 10 Conference, 2008Fractal Dimensions (FD) are one of the popular measures used for characterizing signals. They have been used as complexity measures of signals in various fields including speech and biomedical applications. However, proper interpretation of such analyses has not been thoroughly addressed. In this paper, we study the effect of various signal properties
Raghavendra, BS, Dutt, Narayana D
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1988
How long is the coast of Norway? Take a look at figure 2.1. On the scale of the map the deep fjords on the western coast show up clearly. The details encountered moving northeast along the coast from the southern tip are more difficult to resolve, but I can assure you that the maps I use when sailing in that area show structures quite similar to those ...
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How long is the coast of Norway? Take a look at figure 2.1. On the scale of the map the deep fjords on the western coast show up clearly. The details encountered moving northeast along the coast from the southern tip are more difficult to resolve, but I can assure you that the maps I use when sailing in that area show structures quite similar to those ...
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FRACTAL DIMENSIONS FOR MULTIPHASE FRACTAL MEDIA
Fractals, 2006The 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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1996
Each stage of the generation process for a fractal curve adds more length to the curve. A fractal curve generated through an infinite number of steps will have infinite length. It was demonstrated in Chapter 2 that the length of different fractal curves grows from one generation stage to the next at different rates.
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Each stage of the generation process for a fractal curve adds more length to the curve. A fractal curve generated through an infinite number of steps will have infinite length. It was demonstrated in Chapter 2 that the length of different fractal curves grows from one generation stage to the next at different rates.
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The fractal dimension of complex networks: A review
Information Fusion, 2021Tao Wen, Kang Hao Cheong
exaly