Hypercomplex Iterations Distance Estimation And Higher Dimensional Fractals With Cd Rom

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Hypercomplex Iterations: Distance Estimation And Higher Dimensional Fractals (With Cd Rom)

Author : Yumei Dang
Publisher : World Scientific
ISBN 13 : 9814496804
Total Pages : 163 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Hypercomplex Iterations: Distance Estimation And Higher Dimensional Fractals (With Cd Rom) by : Yumei Dang

Download or read book Hypercomplex Iterations: Distance Estimation And Higher Dimensional Fractals (With Cd Rom) written by Yumei Dang and published by World Scientific. This book was released on 2002-08-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally applied to Julia sets and the Mandelbrot set in the complex plane. It was justified, through the work of Douady and Hubbard, by deep results in complex analysis. In this book the authors generalise the distance estimation to quaternionic and other higher dimensional fractals, including fractals derived from iteration in the Cayley numbers (octonionic fractals). The generalization is justified by new geometric arguments that circumvent the need for complex analysis. This puts on a firm footing the authors' present work and the second author's earlier work with John Hart and Dan Sandin. The results of this book will be of great interest to mathematicians and computer scientists interested in fractals and computer graphics.

Bios: A Study Of Creation (With Cd-rom)

Author : Hector Sabelli
Publisher : World Scientific
ISBN 13 : 9814481335
Total Pages : 670 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Bios: A Study Of Creation (With Cd-rom) by : Hector Sabelli

Download or read book Bios: A Study Of Creation (With Cd-rom) written by Hector Sabelli and published by World Scientific. This book was released on 2005-03-03 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a prototype of creative causal processes termed BIOS and how the concept can be applied to the physical world, in medicine and in social science. This book presents methods for identifying creative features in empirical data; studies showing biotic patterns in physical, biological, and economic processes; mathematical models of bipolar (positive and negative) feedback that generate biotic patterns. These studies support the hypothesis that natural processes are creative (not determined) and causal (not random) and that bipolar feedback plays a major role in their evolution. Simple processes precede, coexist, constitute and surround the complex systems they generate (priority of the simple). In turn, complex processes feedback and transform simpler ones (supremacy of the complex).

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 930 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 930 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hypercomplex Iterations

Author : Yumei Dang
Publisher :
ISBN 13 : 9789810232962
Total Pages : 144 pages
Book Rating : 4.2/5 (329 download)

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Book Synopsis Hypercomplex Iterations by : Yumei Dang

Download or read book Hypercomplex Iterations written by Yumei Dang and published by . This book was released on 2002 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Clifford Algebras with Numeric and Symbolic Computations

Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461581575
Total Pages : 328 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Clifford Algebras with Numeric and Symbolic Computations by : Rafal Ablamowicz

Download or read book Clifford Algebras with Numeric and Symbolic Computations written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited survey book consists of 20 chapters showing application of Clifford algebra in quantum mechanics, field theory, spinor calculations, projective geometry, Hypercomplex algebra, function theory and crystallography. Many examples of computations performed with a variety of readily available software programs are presented in detail.

Chaos and Fractals

Author : Heinz-Otto Peitgen
Publisher : Springer Science & Business Media
ISBN 13 : 1475747403
Total Pages : 1013 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Chaos and Fractals by : Heinz-Otto Peitgen

Download or read book Chaos and Fractals written by Heinz-Otto Peitgen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1013 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost ten years chaos and fractals have been enveloping many areas of mathematics and the natural sciences in their power, creativity and expanse. Reaching far beyond the traditional bounds of mathematics and science to the realms of popular culture, they have captured the attention and enthusiasm of a worldwide audience. The fourteen chapters of the book cover the central ideas and concepts, as well as many related topics including, the Mandelbrot Set, Julia Sets, Cellular Automata, L-Systems, Percolation and Strange Attractors, and each closes with the computer code for a central experiment. In the two appendices, Yuval Fisher discusses the details and ideas of fractal image compression, while Carl J.G. Evertsz and Benoit Mandelbrot introduce the foundations and implications of multifractals.

Early Days in Complex Dynamics

Author : Daniel S. Alexander
Publisher : American Mathematical Soc.
ISBN 13 : 0821844644
Total Pages : 474 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Early Days in Complex Dynamics by : Daniel S. Alexander

Download or read book Early Days in Complex Dynamics written by Daniel S. Alexander and published by American Mathematical Soc.. This book was released on 2012 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.

Topological Geometrodynamics

Author : Matti Pitkanen
Publisher : Bentham Science Publishers
ISBN 13 : 1681081792
Total Pages : 1235 pages
Book Rating : 4.6/5 (81 download)

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Book Synopsis Topological Geometrodynamics by : Matti Pitkanen

Download or read book Topological Geometrodynamics written by Matti Pitkanen and published by Bentham Science Publishers. This book was released on 2016-03-03 with total page 1235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological geometrodynamics (TGD) is a modification of the theory of general relativity inspired by the problems related to the definition of inertial and gravitational energies in the earlier hypotheses. TGD is also a generalization of super string models. TGD brings forth an elegant theoretical projection of reality and builds upon the work by renowned scientists (Wheeler, Feynman, Penrose, Einstein, Josephson to name a few). In TGD, Physical space-time planes are visualized as four-dimensional surfaces in a certain 8-dimensional space (H). The choice of H is fixed by symmetries of standard model and leads to a geometric mapping of known classical fields and elementary particle numbers. TGD differs from Einstein’s geometrodynamics in the way space-time planes or ‘sheets’ are lumped together. Extending the theory based on fusing number concepts implies a further generalisation of the space-time concept allowing the identification of space-time correlates of cognition and intentionality. Additionally, zero energy ontology forces an extension of quantum measurement theory to a theory of consciousness and a hierarchy of phases is identified. Dark matter is thus predicted with far reaching implications for the understanding of consciousness and living systems. Therefore, it sets a solid foundation for modeling our universe in geometric terms. Topological Geometrodynamics: An Overview explains basic and advanced concepts about TGD. The book covers introductory information and classical TGD concepts before delving into twistor-space theory, particle physics, infinite-dimensional spinor geometry, generalized number theory, Planck constants, and the applications of TGD theory in research. The book is a valuable guide to TDG theory for researchers and advanced graduates in theoretical physics and cosmology.

Liquid Life

Author : Rachel Armstrong
Publisher :
ISBN 13 : 9781950192182
Total Pages : 600 pages
Book Rating : 4.1/5 (921 download)

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Book Synopsis Liquid Life by : Rachel Armstrong

Download or read book Liquid Life written by Rachel Armstrong and published by . This book was released on 2019 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we lived in a liquid world, the concept of a "machine" would make no sense. Liquid life is metaphor and apparatus that discusses the consequences of thinking, working, and living through liquids. It is an irreducible, paradoxical, parallel, planetary-scale material condition, unevenly distributed spatially, but temporally continuous. It is what remains when logical explanations can no longer account for the experiences that we recognize as part of "being alive."Liquid Life references a third-millennial understanding of matter that seeks to restore the agency of the liquid soul for an ecological era, which has been banished by reductionist, "brute" materialist discourses and mechanical models of life. Offering an alternative worldview of the living realm through a "new materialist" and "liquid" study of matter, Armstrong conjures forth examples of creatures that do not obey mechanistic concepts like predictability, efficiency, and rationality. With the advent of molecular science, an increasingly persuasive ontology of liquid technologies can be identified. Through the lens of lifelike dynamic droplets, the agency for these systems exists at the interfaces between different fields of matter/energy that respond to highly local effects, with no need for a central organizing system.Liquid Life seeks an alternative partnership between humanity and the natural world. It provokes a re-invention of the languages of the living realm to open up alternative spaces for exploration, including contributor Rolf Hughes' "angelology" of language, which explores the transformative invocations of prose poetry, and Simone Ferracina's graphical notations that help shape our concepts of metabolism, upcycling, and designing with fluids. A conceptual and practical toolset for thinking and designing, liquid life reunites us with the irreducible "soul substance" of living things, which will neither be simply "solved," nor go away.

LinKnot

Author : Slavik V. Jablan
Publisher : World Scientific
ISBN 13 : 9812772235
Total Pages : 497 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis LinKnot by : Slavik V. Jablan

Download or read book LinKnot written by Slavik V. Jablan and published by World Scientific. This book was released on 2007 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: LinKnot - Knot Theory by Computer provides a unique view of selected topics in knot theory suitable for students, research mathematicians, and readers with backgrounds in other exact sciences, including chemistry, molecular biology and physics. The book covers basic notions in knot theory, as well as new methods for handling open problems such as unknotting number, braid family representatives, invertibility, amphicheirality, undetectability, non-algebraic tangles, polyhedral links, and (2,2)-moves. Conjectures discussed in the book are explained at length. The beauty, universality and diversity of knot theory is illuminated through various non-standard applications: mirror curves, fullerens, self-referential systems, and KL automata.

Advances in Computer Science for Engineering and Education III

Author : Zhengbing Hu
Publisher : Springer Nature
ISBN 13 : 3030555062
Total Pages : 689 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Advances in Computer Science for Engineering and Education III by : Zhengbing Hu

Download or read book Advances in Computer Science for Engineering and Education III written by Zhengbing Hu and published by Springer Nature. This book was released on 2020-08-05 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises high-quality refereed research papers presented at the Third International Conference on Computer Science, Engineering and Education Applications (ICCSEEA2020), held in Kyiv, Ukraine, on 21–22 January 2020, organized jointly by National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, National Aviation University, and the International Research Association of Modern Education and Computer Science. The topics discussed in the book include state-of-the-art papers in computer science, artificial intelligence, engineering techniques, genetic coding systems, deep learning with its medical applications, and knowledge representation with its applications in education. It is an excellent source of references for researchers, graduate students, engineers, management practitioners, and undergraduate students interested in computer science and their applications in engineering and education.

Zero to Infinity

Author : Peter Rowlands
Publisher : World Scientific
ISBN 13 : 9812709150
Total Pages : 738 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Zero to Infinity by : Peter Rowlands

Download or read book Zero to Infinity written by Peter Rowlands and published by World Scientific. This book was released on 2007 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, taking the rewrite structure more generally as a description of process, the book shows how it can be applied to large-scale structures beyond the realm of fundamental physics. Sample Chapter(s). Chapter 1: Zero (228 KB). Contents: Zero; Why Does Physics Work?; The Emergence of Physics; Groups and Representations; Breaking the Dirac Code; The Dirac Nilpotent; Nonrelativistic Quantum Mechanics and the Classical Transition; The Classical and Special Relativistic Approximations; The Resolution of Paradoxes; Electric, Strong and Weak Interactions; QED and Its Analogues; Vacuum; Fermion and Boson Structures; A Representation of Strong and Weak Interactions; Grand Unification and Particle Masses; The Factor 2 and Duality; Gravity and Inertia; Dimensionality, Strings and Quantum Gravity; Nature''s Code; Nature''s Rule; Infinity. Readership: Researchers in quantum, theoretical and high energy physics.

Federated Learning

Author : Qiang Yang
Publisher : Springer Nature
ISBN 13 : 3030630765
Total Pages : 291 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Federated Learning by : Qiang Yang

Download or read book Federated Learning written by Qiang Yang and published by Springer Nature. This book was released on 2020-11-25 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and self-contained introduction to federated learning, ranging from the basic knowledge and theories to various key applications. Privacy and incentive issues are the focus of this book. It is timely as federated learning is becoming popular after the release of the General Data Protection Regulation (GDPR). Since federated learning aims to enable a machine model to be collaboratively trained without each party exposing private data to others. This setting adheres to regulatory requirements of data privacy protection such as GDPR. This book contains three main parts. Firstly, it introduces different privacy-preserving methods for protecting a federated learning model against different types of attacks such as data leakage and/or data poisoning. Secondly, the book presents incentive mechanisms which aim to encourage individuals to participate in the federated learning ecosystems. Last but not least, this book also describes how federated learning can be applied in industry and business to address data silo and privacy-preserving problems. The book is intended for readers from both the academia and the industry, who would like to learn about federated learning, practice its implementation, and apply it in their own business. Readers are expected to have some basic understanding of linear algebra, calculus, and neural network. Additionally, domain knowledge in FinTech and marketing would be helpful.”

The Symbiotic Man

Author : Joël de Rosnay
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Symbiotic Man by : Joël de Rosnay

Download or read book The Symbiotic Man written by Joël de Rosnay and published by McGraw-Hill Companies. This book was released on 2000 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the past four decades a powerful scientific methodology has emerged that promises to dramatically recast our concept of nature and mankind's place in it. Unlike the traditional analytical approach which breaks nature down into smaller and smaller constituent parts, chaos theory, the theory of self-organization, and other so-called sciences of complexity, explore dynamic systems in their totalities, so as to lay bare the great constants governing their emergence, organization, and evolution. Using the tools of complexity, researchers recently have made breakthroughs in the understanding of such divers phenomena as weather systems, economies, and even the most daunting scientific mystery of all, the mind as an emergent property of the brain's dense neuronal mazes.

Dynamical Systems with Applications using Mathematica®

Author : Stephen Lynch
Publisher : Springer Science & Business Media
ISBN 13 : 0817645861
Total Pages : 481 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dynamical Systems with Applications using Mathematica® by : Stephen Lynch

Download or read book Dynamical Systems with Applications using Mathematica® written by Stephen Lynch and published by Springer Science & Business Media. This book was released on 2007-09-20 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Formalized Music

Author : Iannis Xenakis
Publisher : Pendragon Press
ISBN 13 : 9781576470794
Total Pages : 410 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Formalized Music by : Iannis Xenakis

Download or read book Formalized Music written by Iannis Xenakis and published by Pendragon Press. This book was released on 1992 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pendragon Press is proud to offer this new, revised, and expanded edition of Formalized Music, Iannis Xenakis's landmark book of 1971. In addition to three totally new chapters examining recent breakthroughs in music theory, two original computer programs illustrating the actual realization of newly proposed methods of composition, and an appendix of the very latest developments of stochastic synthesis as an invitation to future exploration, Xenakis offers a very critical self-examination of his theoretical propositions and artistic output of the past thirty-five years. This edition of Formalized Music is an essential tool for understanding the man and the thought processes of one of this century's most important and revolutionary musical figures.

The Affect Theory Reader 2

Author : Gregory J. Seigworth
Publisher : Duke University Press
ISBN 13 : 1478027207
Total Pages : 305 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis The Affect Theory Reader 2 by : Gregory J. Seigworth

Download or read book The Affect Theory Reader 2 written by Gregory J. Seigworth and published by Duke University Press. This book was released on 2023-09-30 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on the foundational Affect Theory Reader, this new volume gathers together contemporary scholarship that highlights and interrogates the contemporary state of affect inquiry. Unsettling what might be too readily taken-for-granted assumptions in affect theory, The Affect Theory Reader 2 extends and challenges how contemporary theories of affect intersect with a wide range of topics and fields that include Black studies, queer and trans theory, Indigenous cosmologies, feminist cultural analysis, psychoanalysis, and media ecologies. It foregrounds vital touchpoints for contemporary studies of affect, from the visceral elements of climate emergency and the sensorial sinews of networked media to the minor feelings entangled with listening, looking, thinking, writing, and teaching otherwise. Tracing affect’s resonances with today’s most critical debates, The Affect Theory Reader 2 will reorient and disorient readers to the past, present, and future potentials of affect theory. Contributors. Lauren Berlant, Lisa Blackman, Rizvana Bradley, Ann Cvetkovich, Ezekiel J. Dixon-Román, Adam J. Frank, M. Gail Hamner, Omar Kasmani, Cecilia Macón, Hil Malatino, Erin Manning, Derek P. McCormack, Patrick Nickleson, Susanna Paasonen, Tyrone S. Palmer, Carolyn Pedwell, Jasbir K. Puar, Jason Read, Michael Richardson, Dylan Robinson, Tony D. Sampson, Kyla Schuller, Gregory J. Seigworth, Nathan Snaza, Kathleen Stewart, Elizabeth A. Wilson