The Fractal Geometry of the Brain

The Fractal Geometry of the Brain PDF Author: Antonio Di Ieva
Publisher: Springer
ISBN: 1493939955
Category : Medical
Languages : en
Pages : 583

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Book Description
Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

The Fractal Geometry of the Brain

The Fractal Geometry of the Brain PDF Author: Antonio Di Ieva
Publisher: Springer
ISBN: 1493939955
Category : Medical
Languages : en
Pages : 583

Get Book Here

Book Description
Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

The Fractal Geometry of the Brain

The Fractal Geometry of the Brain PDF Author: Antonio Di Ieva
Publisher: Springer Nature
ISBN: 3031476069
Category :
Languages : en
Pages : 999

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Book Description


The Fractal Brain Theory

The Fractal Brain Theory PDF Author: Wai Tsang
Publisher: Lulu.com
ISBN: 1326753223
Category : Science
Languages : en
Pages : 532

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Book Description
The Fractal Brain Theory, or the Symmetry, Self Similarity and Recursivity Theory of Brain and Mind, is a Revolutionary new way of looking at the nature of intelligence and also genomics. It is the key to a powerful and new kind of Recursively Self Modifying Artificial Intelligence. Wai H. Tsang presents an exciting new synthesis of all things psychological, linguistic, neuroscientific, genomic, evolutionary, informatic, computational, complex and fractal. Dealing with the most central puzzles of mind science and AI, and weaving in some of the most fundamental concepts in mathematics such as symmetry, geometry, functions, discrete maths and formal axiomatic systems. This book presents nothing less than a seamless unified theory of Brain, Mind, Artificial Intelligence, Functional Genomics, Ontogenesis and Evolution. Also covering topics such as the quest for the Perfect & Universal Language, Recursively Self Modifying Algorithms, Super Intelligence & Technological Singularity.

Fractals of Brain, Fractals of Mind

Fractals of Brain, Fractals of Mind PDF Author: Earl R. Mac Cormac
Publisher: John Benjamins Publishing
ISBN: 1556191871
Category : Medical
Languages : en
Pages : 378

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Book Description
This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of-chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the margins of our capacity for phenomenal experience, are fractal-limit phenomena . Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)

Geometry of Grief

Geometry of Grief PDF Author: Michael Frame
Publisher: University of Chicago Press
ISBN: 022680092X
Category : Biography & Autobiography
Languages : en
Pages : 175

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Book Description
Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.

Brainfilling Curves - A Fractal Bestiary

Brainfilling Curves - A Fractal Bestiary PDF Author: Jeffrey Ventrella
Publisher: Lulu.com
ISBN: 0983054622
Category : Computers
Languages : en
Pages : 206

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Book Description
* A lovingly-crafted visual expedition, lead by a lifelong fractal wizard with an obsession for categorizing fractal species * Hundreds of beautiful color images * An in-depth taxonomy of Koch-constructed Fractal Curves * An intuitive introduction to Koch construction * A must-read for anyone interested in fractal geometry

Fractals of Brain, Fractals of Mind

Fractals of Brain, Fractals of Mind PDF Author: Earl Mac Cormac
Publisher: John Benjamins Publishing
ISBN: 902728489X
Category : Psychology
Languages : en
Pages : 371

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Book Description
This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of-chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the ‘margins’ of our capacity for phenomenal experience, are ‘fractal-limit phenomena’. Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)

Introducing Fractal Geometry

Introducing Fractal Geometry PDF Author: Nigel Lesmoir-Gordon
Publisher: Totem Books
ISBN: 9781840467130
Category : Fractals
Languages : en
Pages : 0

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Book Description
This title is now available in a new format. Refer to Fractals: A Graphic Guide 9781848310872.

Fractals in Science

Fractals in Science PDF Author: Armin Bunde
Publisher: Springer
ISBN: 3642779530
Category : Science
Languages : en
Pages : 317

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Book Description
A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF Author: Gabriele A. Losa
Publisher: Birkhäuser
ISBN: 3034881193
Category : Mathematics
Languages : en
Pages : 354

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Book Description
In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.