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Fractals and Fractal Distributions
2002Scale 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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Fractals, Multi-Fractals, Psuedo-Fractals and Non-Fractals in Energy Spectral Techniques
EAGE Workshop on Non-Seismic Methods, 2008The 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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Genetic Programming and Evolvable Machines, 2004
The fractal protein is a new concept intended to improve evolvability, scalability, exploitability and provide a rich medium for evolutionary computation. Here the idea of fractal proteins and fractal proteins with concentration levels are introduced, and a series of experiments showing how evolution can design and exploit them within gene regulatory ...
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The fractal protein is a new concept intended to improve evolvability, scalability, exploitability and provide a rich medium for evolutionary computation. Here the idea of fractal proteins and fractal proteins with concentration levels are introduced, and a series of experiments showing how evolution can design and exploit them within gene regulatory ...
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ASME-JSME-KSME 2011 Joint Fluids Engineering Conference: Volume 1, Symposia – Parts A, B, C, and D, 2011
Fractality is, as we introduce it, an attribute relating to any object or system where the existence of self-similar replication of the whole is present in any order and scale. This can be realized in any turbulent flow due to the self-similar flow structures in its energy cascade.
S. M. Muztaba Salim, Franck Nicolleau
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Fractality is, as we introduce it, an attribute relating to any object or system where the existence of self-similar replication of the whole is present in any order and scale. This can be realized in any turbulent flow due to the self-similar flow structures in its energy cascade.
S. M. Muztaba Salim, Franck Nicolleau
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2003
Cosmology is based more on observational and testable grounds than ever in the past. As in many other scientific areas. a statistical-mathematical filter is necessary to process data and obtain the correct information to be compared with theories and hypothesis.
Francesco Sylos Labini, Andrea Gabrielli
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Cosmology is based more on observational and testable grounds than ever in the past. As in many other scientific areas. a statistical-mathematical filter is necessary to process data and obtain the correct information to be compared with theories and hypothesis.
Francesco Sylos Labini, Andrea Gabrielli
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The Journal of Pathology, 1997
Many natural objects, including most objects studied in pathology, have complex structural characteristics and the complexity of their structures, for example the degree of branching of vessels or the irregularity of a tumour boundary, remains at a constant level over a wide range of magnifications.
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Many natural objects, including most objects studied in pathology, have complex structural characteristics and the complexity of their structures, for example the degree of branching of vessels or the irregularity of a tumour boundary, remains at a constant level over a wide range of magnifications.
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Fractals, 1995
We introduce an extension of an earlier defined simple, number-based matrix substitution system for obtaining fractal matrices, by considering cyclic substitutions. The elements of the resulting matrices are related to representations of their addresses in a mixed number base.
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We introduce an extension of an earlier defined simple, number-based matrix substitution system for obtaining fractal matrices, by considering cyclic substitutions. The elements of the resulting matrices are related to representations of their addresses in a mixed number base.
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Nonlinear Analysis for Human Movement Variability, 2018
Denise McGrath
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Denise McGrath
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