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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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Fractals for physicians

Paediatric Respiratory Reviews, 2010
There is increasing interest in the study of fractals in medicine. In this review, we provide an overview of fractals, of techniques available to describe fractals in physiological data, and we propose some reasons why a physician might benefit from an understanding of fractals and fractal analysis, with an emphasis on paediatric respiratory medicine ...
Thamrin, Cindy   +2 more
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Self-Affine Fractals and Fractal Dimension

Physica Scripta, 1985
Evaluating a fractal curve's approximate length by walking a compass defines a compass exponent. Long ago, I showed that for a self-similar curve (e.g., a model of coastline), the compass exponent coincides with all the other forms of the fractal dimension, e.g., the similarity, box or mass dimensions. Now walk a compass along a self-affine curve, such
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Fractals and Multi-fractals in Turbulence

1997
Turbulent flows refer to situations in which the flow properties at any point vary in a statistically random manner. Fourier analysis shows that wave fluctuations in a range of frequencies and wave numbers are present, the width of the range changing with certain flow parameters like the Reynolds number. (Attempts at characterizing turbulence structure
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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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Fractal: A General-Purpose Graph Pattern Mining System

SIGMOD Conference, 2019
In this paper we propose Fractal, a high performance and high productivity system for supporting distributed graph pattern mining (GPM) applications. Fractal employs a dynamic (auto-tuned) load-balancing based on a hierarchical and locality-aware work ...
Vinícius Dias   +4 more
semanticscholar   +1 more source

Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques

EAGE Workshop on Non-Seismic Methods, 2008
The demonstration of fractal processes within the earth has been an important step in understanding many processes and the nature of resultant geomorphology. However the complex nature of interplay between many different processes does not lead to simple measures of fractal geometry in practice.
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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 DERIVATIVE MODEL FOR TSUNAMI TRAVELING

Fractals, 2019
Tsunami traveling in an unsmooth boundary is studied, where the boundary is considered as a fractal surface, and mass conservation and moment conservation in a fractal space are established, and a fractal derivative-based tsunami model is established ...
Yan Wang, Qigen Deng
semanticscholar   +1 more source

Stringing the Fractals

IEEE Computer Graphics and Applications, 2005
Cover artist David Works thinks that fractals appeal to an innate sense of aesthetic sensibility and he revels in Apophysis, a freeware fractal flame editor for Windows.
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