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Fractional Fractals

Fractional Calculus and Applied Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tenreiro Machado, J. A.   +1 more
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Classics On Fractals

, 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
semanticscholar   +1 more source

Fractals

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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Fractal Dimension of Color Fractal Images

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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Fractal aggregates

Advances in Colloid and Interface Science, 1987
In recent years it has been shown that the structures of a wide variety of colloidal aggregates can be described in terms of the concepts of fractal geometry. The purpose of this review is to discuss some of the evidence for fractal geometry in experimental systems and indicate how fractal geometry can be used to develop a better understanding of their
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Fractal Approximation

Complex Analysis and Operator Theory, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractal Fracas

IEEE Computer Graphics and Applications, 2005
Fractal artist Terry Wright says the images on his Web site should be viewed in a dark and dimly lit room due to the nature of their textures. "Much of my art uses dark tones and has backlit qualities that do not show up well unless viewed in darkness or ambient light," he explained.
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The Beauty of Fractals

1988, 1987
A can made of a steel sheet the surface of which is coated with a three-layered chromium coating, consisting of a metallic chromium coating, a crystalline chromium oxide coating and a non-crystalline hydrated chromium oxide coating in this order. A layer
H. Peitgen, P. Richter
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Fractals and Fractal Distributions

2002
Scale invariance has attracted scientists from various disciplines since the early 1980’s. B. B. Mandelbrot has been the pioneer on this field; he introduced first ideas in the 1960’s and was the first to write a comprehensive book on scale invariance (Mandelbrot 1982). However, the idea of scale dependence and scale invariance is much older; D.
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Fractal Neurodynamics

The neuronal ongoing electrical activity in the brain network, the neurodynamics, reflects the structure and functionality of generating neuronal pools. The activity of neurons due to their excitatory and inhibitory projections is associated with specific brain functions.
Armonaite, Karolina   +2 more
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