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This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the… Expand Mathematical Background. Review of Fractal Geometry. Some Techniques for Studying Dimension. Cookie-cutters and Bounded… Expand 1. A view of river basins 2. Fractal characteristics of river basins 3. Multifractal characteristics of river basins 4. Optimal… Expand The nature of fractals and the use of fractals instead of classical scaling concepts to describe the irregular surfaces… Expand Part I Foundations: mathematical background Hausdorff measure and dimension alternative definitions of dimension techniques for… Expand * Bridges the gap between traditional books on topology/analysis and more specialized treatises on fractal geometry
* Contains… Expand Editor's note: The following articles by Steven G. Krantz and Benoit B. Mandelbrot have an unusual history. In the fall of 1988… Expand Contents: Foreword: People and Events Behind the "Science of Fractal Images".- Fractals in Nature: From Characterization to… Expand Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16… Expand In this letter we report that, at the molecular-size range, the surfaces of most materials are fractals, that is, at this range… Expand