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E-raamat: Treasures Inside The Bell: Hidden Order In Chance (With Cd-rom)

(Univ Of California, Davis, Usa)
  • Formaat: 112 pages
  • Ilmumisaeg: 24-Apr-2003
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814487634
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  • Formaat: 112 pages
  • Ilmumisaeg: 24-Apr-2003
  • Kirjastus: World Scientific Publishing Co Pte Ltd
  • Keel: eng
  • ISBN-13: 9789814487634

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Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author of this publication and his collaborators. Treasures Inside the Bell: Hidden Order in Chance reveals how these new constructions result in infinite exotic kaleidoscopic decompositions of two-dimensional circular bells in terms of beautiful deterministic patterns possessing arbitrary n-fold symmetries. These are patterns that, while reminding us of the infinite structure previously found in the celebrated Mandelbrot set, turn out to contain natural shapes such as snow crystals and biochemical rosettes, and even the DNA structure of life.
Preface ix
Part 1 Introducing the Bell
1(32)
The Notion of Iterations
1(2)
Interpolating Wires
3(3)
Textures on Interpolating Wires
6(2)
The Bell as a Shadow
8(3)
Wires and Bells in Higher Dimensions
11(4)
Exotic Patterns Inside the Bell
15(8)
Natural Sets Inside the Bell
23(1)
More Treasures Inside the Bell
23(10)
Part 2 Gallery Designs
33(40)
Radial Patterns
35(14)
Rotational Patterns
49(14)
Evolutions & Quilts
63(10)
Part 3 Technical Notes
73(23)
Index 96
Carlos E Puente received his PhD in Hydrology from Massachusetts Institute of Technology in 1984. Since then, he has published over 40 journal papers. Some of his most recent works include Chaos and Stochasticity in Deterministically Generated Multifractal Measures for the journal Fractals; DNA, Pi and the Bell for the journal Complexity; and the book The Hypotenuse, submitted to Random House. He has also made over 85 presentations at numerous conferences relating to topics in Nonlinear Dynamics and Hydrology.