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Fractals, scaling, and growth far from equilibrium

, 1998
This 1998 book describes the progress that had been made towards the development of a comprehensive understanding of the formation of complex, disorderly patterns under conditions far from equilibrium.
P. Meakin
semanticscholar   +1 more source

Fractals, Chaos, Power Laws: Minutes From an Infinite Paradise

, 1992
Self-similarity is a profound concept that shapes many of the laws governing nature and underlying human thought. It is a property of widespread scientific importance and is at the centre of much of the recent work in chao fractals, and other areas of ...
Manfred Schroeder
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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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Fractals and fragmentation

, 1986
If the number-size distribution of objects satisfies the condition N ∼ r−D, then a fractal is defined with a fractal dimension D. In many cases, fragmentation results in a fractal distribution.
D. Turcotte
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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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Fractals and foods

Critical Reviews in Food Science and Nutrition, 1993
Fractal geometry and related concepts have had only a very minor impact on food research. The very few reported food applications deal mainly with the characterization of the contours of agglomerated instant coffee particles, the surface morphology of treated starch particles, the microstructure of casein gels viewed as a product limited diffusion ...
Micha Peleg, Gustavo V. Barbosa
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Fractals: A Very Short Introduction

, 2013
Preface 1. The fractal concept 2. Self-similarity 3. Fractal dimension 4. Julia sets and the Mandelbrot set 5. Random walks and Brownian motion 6. Fractals in the real world 7.
K. Falconer
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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 in microscopy

Journal of Microscopy, 2010
Fractal geometry, developed by B. Mandelbrot, has provided new key concepts necessary to the understanding and quantification of some aspects of pattern and shape randomness, irregularity, complexity and self-similarity. In the field of microscopy, fractals have profound implications in relation to the effects of magnification and scaling on morphology
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Fractals and Scaling In Finance: Discontinuity, Concentration, Risk

, 2010
Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of ...
B. Mandelbrot
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