Results 231 to 240 of about 202,770 (288)
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, 1988
Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
M. Barnsley
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Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
M. Barnsley
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Fractals and Chaos in Geology and Geophysics
, 1992This book introduces the fundamental concepts of fractal geometry and chaotic dynamics. These concepts are then related to a variety of geological and geophysical problems, illustrating just what chaos theory and fractals really tell us and how they can ...
D. Turcotte
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Fractals: Form, Chance and Dimension
, 1978This is the most extraordinarily beautiful book in thought and in form that I have read for many years, and that is all the more peculiar for its being a somewhat technically mathematical treatise. Fractals is a whole new field of mathematics that models
B. Mandelbrot, Michael Aizenman
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Fractal Dimension of Color Fractal Images [PDF]
IEEE Transactions on Image Processing, 2011 Fractal dimension is a very useful metric for the analysis of the images with self-similar content, such as textures. For its computation there exist several approaches, the probabilistic algorithm being accepted as the most elegant approach. However, all the existing methods are defined for 1-D signals or binary images, with extension to grayscale ...
Mihai Ivanovici, Noël Richard
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Fractals in Probability and Analysis
, 2017This is a mathematically rigorous introduction to fractals which emphasizes examples and fundamental ideas. Building up from basic techniques of geometric measure theory and probability, central topics such as Hausdorff dimension, self-similar sets and ...
C. Bishop, Y. Peres
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, 2019
Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. A. Edgar
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Fractals have recently become an important topic of discussion in such varied branches of science as mathematics, computer science, and physics. Accordingly, there is an interest in the mathematical underpinnings for a (yet to be realized) theory of ...
G. A. Edgar
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Fractals and Reactions on Fractals [PDF]
, 1989 Many of the structures which surround us in nature (mountains, rivers, coastlines, clouds, the vascular system and other biological structures, for example) and systems of scientific interest (aggregates, macromolecules, rough surfaces, “strange” attractors, etc.) cannot be adequately described in terms of the concepts of Euclidean geometry.
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Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence.
Journal of the American Medical Association (JAMA), 1992The concept of "complexity," derived from the field of nonlinear dynamics, can be adapted to measure the output of physiologic processes that generate highly variable fluctuations resembling "chaos." We review data suggesting that physiologic aging is ...
L. Lipsitz, A. Goldberger
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2008
Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Fractals have become increasingly useful tools for the statistical modelling of financial prices. While early research assumed invariance of the return density with the time horizon, new processes have recently been developed to capture nonlinear changes in return dynamics across frequencies.
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Geometry of Sets and Measures in Euclidean Spaces: Fractals and Rectifiability
, 1995Acknowledgements Basic notation Introduction 1. General measure theory 2. Covering and differentiation 3. Invariant measures 4. Hausdorff measures and dimension 5. Other measures and dimensions 6.
P. Mattila
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