A Fractal Topology of Time

A Fractal Topology of Time
Author: Kerri I Welch
Publisher:
Total Pages: 148
Release: 2020-03-02
Genre: Philosophy
ISBN: 9781734576207

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This book will challenge how you think about time. Physics describes time as spatialized, static, and reversible, while we experience time as textured, flowing, and unidirectional. No model is better suited to capture time's quantitative and qualitative aspects than the cyclicity, creativity, and infinite depths of fractals.

A Fractal Topology of Time

A Fractal Topology of Time
Author: Kerri Welch
Publisher:
Total Pages: 201
Release: 2010
Genre:
ISBN:

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SuperFractals

SuperFractals
Author: Michael Fielding Barnsley
Publisher: Cambridge University Press
Total Pages: 464
Release: 2006-09-07
Genre: Computers
ISBN: 0521844932

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SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

The Fractal Geometry of Nature

The Fractal Geometry of Nature
Author: Benoit Mandelbrot
Publisher: Echo Point Books & Media, LLC
Total Pages: 0
Release: 2021-07-16
Genre:
ISBN: 9781648370410

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Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Fractal Physiology

Fractal Physiology
Author: James B Bassingthwaighte
Publisher: Springer
Total Pages: 371
Release: 2013-05-27
Genre: Medical
ISBN: 1461475724

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I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Fractal Geometries Theory and Applications

Fractal Geometries Theory and Applications
Author: Alain Le Mehaute
Publisher: CRC Press
Total Pages: 214
Release: 1991-11-11
Genre: Mathematics
ISBN: 9780849377228

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Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis. This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.

Alt.fractals

Alt.fractals
Author: Eric Baird
Publisher: Chocolate Tree Books
Total Pages: 233
Release: 2011
Genre: Design
ISBN: 0955706831

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"Where most books on fractals concentrate on mathematical theory, Alt. Fractals takes a graphical approach. starting with the fractal "standards"--The Sierpinski Triangle and Pyramid, Menger Sponge, Julia Mandelbrot sets - Alt. Fractals explores the world of variations one step removed from the usual textbook versions."--Back cover.

Fractal Space-time and Microphysics

Fractal Space-time and Microphysics
Author: Laurent Nottale
Publisher: World Scientific
Total Pages: 358
Release: 1993
Genre: Science
ISBN: 9789810208783

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This is the first detailed account of a new approach to microphysics based on two leading ideas: (i) the explicit dependence of physical laws on scale encountered in quantum physics, is the manifestation of a fundamental principle of nature, scale relativity. This generalizes Einstein's principle of (motion) relativity to scale transformations; (ii) the mathematical achievement of this principle needs the introduction of a nondifferentiable space-time varying with resolution, i.e. characterized by its fractal properties.The author discusses in detail reactualization of the principle of relativity and its application to scale transformations, physical laws which are explicitly scale dependent, and fractals as a new geometric description of space-time.

Fractals in Probability and Analysis

Fractals in Probability and Analysis
Author: Christopher J. Bishop
Publisher: Cambridge University Press
Total Pages: 415
Release: 2017
Genre: Mathematics
ISBN: 1107134110

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A mathematically rigorous introduction to fractals, emphasizing examples and fundamental ideas while minimizing technicalities.

Fractal theory of time and space sizes

Fractal theory of time and space sizes
Author: Ф. Н. Рянский
Publisher: Российская Академия Наук Дальневосточное Отд-Ние
Total Pages: 37
Release: 1992-01-01
Genre: Climatic changes
ISBN: 9785744204990

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