Results 251 to 260 of about 202,770 (288)
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2004
To provide a brief introduction to fractals. To introduce the notion of fractal dimension. To provide a brief introduction to multifractals and define a multifractal formalism. To consider some very simple examples.
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To provide a brief introduction to fractals. To introduce the notion of fractal dimension. To provide a brief introduction to multifractals and define a multifractal formalism. To consider some very simple examples.
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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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Fractal Rivers in Fractal Landscapes
Physica Scripta, 1991In the spirit of the "fractal forgeries" of Mandelbrot and Voss, the centered tile midpoint displacement algorithm of Mandelbrot is modified to introduce fractal rivers into fractal landscapes. The rivers and river networks co-evolve with the landscape to produce valleys and gulleys.
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Self-Affine Fractals and Fractal Dimension
, 1985Evaluating 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 ...
B. Mandelbrot
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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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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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2016
Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Antonio Di Ieva +2 more
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Several natural phenomena can be described by studying their statistical scaling patterns, hence leading to simple geometrical interpretation. In this regard, fractal geometry is a powerful tool to describe the irregular or fragmented shape of natural features, using spatial or time-domain statistical scaling laws (power-law behavior) to characterize ...
Antonio Di Ieva +2 more
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Diffusion and Reactions in Fractals and Disordered Systems: Finite reaction rates
, 2000Preface Part I. Basic Concepts: 1. Fractals 2. Percolation 3. Random walks and diffusion 4. Beyond random walks Part II. Anomalous Diffusion: 5. Diffusion in the Sierpinski gasket 6. Diffusion in percolation clusters 7. Diffusion in loopless structures 8.
D. ben-Avraham, S. Havlin
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Fractal Electrodes, Fractal Membranes, and Fractal Catalysts
1991How do irregular surfaces operate? This chapter is devoted to this general question, which has been revived by the concept of fractal geometry.
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Fractal walk and walk on fractals
Technical Physics, 2004The one-dimensional walk of a particle executing instantaneous jumps between the randomly distributed “atoms” at which it resides for a random time is considered. The random distances between the neighboring atoms and the time intervals between jumps are mutually independent. The asymptotic (t → ∞) behavior of this process is studied in connection with
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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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