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Author : Frew
Publisher :
ISBN 13 :
Total Pages : 226 pages
Book Rating : 4./5 ( download)
Download or read book The Phantom - Isle of Eden Special written by Frew and published by . This book was released on with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814464430
Total Pages : 404 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Iv) written by Leon O Chua and published by World Scientific. This book was released on 2011-04-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume IV continues the author's odyssey on l-D cellular automata as chronicled in Volumes I, II and III, by uncovering a novel quasi-ergodicity phenomenon involving orbits meandering among omega-limit orbits of complex (group 5) and hyper (group 6) Bernoulli rules. This discovery is embellished with analytical formulas characterizing the fractal properties of characteristic functions, as well as explicit formulas for generating colorful and pedagogically revealing isomorphic basin tree diagrams. Many new results were derived and proved by uncovering subtle symmetries endowed by various subsets of the 256 Boolean cubes. For the first time, rigorous analyses were used to identify 67, out off 256, local rules whose asymptotic behaviors consist of robust period-l orbits. The highlight of this continuing odyssey is the discovery of an isolated period-3240 Isle of Eden hidden among the dense omega-limit orbits of Wolfram's remarkable “random number generating” rule 30. This is the largest gem known to-date and readers are challenged to uncover even larger ones.
Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814468940
Total Pages : 357 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A - Volume Iii written by Leon O Chua and published by World Scientific. This book was released on 2009-08-11 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume III continues the author's quest for developing a pedagogical, self-contained, yet rigorous analytical theory of 1-D cellular automata via a nonlinear dynamics perspective. Using carefully conceived and illuminating color graphics, the global dynamical behaviors of the 50 (out of 256) local rules that have not yet been covered in Volumes I and II are exposed via their stunningly revealing basin tree diagrams. The Bernoulli στ-shift dynamics discovered in Volume II is generalized to hold for all 50 (or 18 globally equivalent) local rules via complex and hyper Bernoulli wave dynamics. Explicit global state transition formulas derived for rules 60, 90, 105, and 150 reveal a new scale-free phenomenon. The most surprising new result unveiled in this volume is the “Isle of Eden” found hidden in most (almost 90%) of the 256 local rules. Readers are challenged to hunt for long-period, isolated Isles of Eden. These are rare gems waiting to be discovered.
Author : Klaus Mainzer
Publisher : Springer Science & Business Media
ISBN 13 : 3642234771
Total Pages : 113 pages
Book Rating : 4.6/5 (422 download)
Download or read book The Universe as Automaton written by Klaus Mainzer and published by Springer Science & Business Media. This book was released on 2011-10-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata. Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.
Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814478695
Total Pages : 600 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (In 2 Volumes) - Volume Ii written by Leon O Chua and published by World Scientific. This book was released on 2007-07-10 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This novel book introduces cellular automata from a rigorous nonlinear dynamics perspective. It supplies the missing link between nonlinear differential and difference equations to discrete symbolic analysis. A surprisingly useful interpretations of cellular automata in terms of neural networks is also given. The book provides a scientifically sound and original analysis, and classifications of the empirical results presented in Wolfram's monumental ';New Kind of Science.';/a
Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 1908977116
Total Pages : 456 pages
Book Rating : 4.9/5 (89 download)
Download or read book Local Activity Principle: The Cause Of Complexity And Symmetry Breaking written by Klaus Mainzer and published by World Scientific. This book was released on 2013-03-15 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reaction-diffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos./a
Author : Klaus Mainzer
Publisher : World Scientific
ISBN 13 : 1908977108
Total Pages : 456 pages
Book Rating : 4.9/5 (89 download)
Download or read book Local Activity Principle written by Klaus Mainzer and published by World Scientific. This book was released on 2013 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principle of local activity explains the emergence of complex patterns in a homogeneous medium. At first defined in the theory of nonlinear electronic circuits in a mathematically rigorous way, it can be generalized and proven at least for the class of nonlinear reactionOCodiffusion systems in physics, chemistry, biology, and brain research. Recently, it was realized by memristors for nanoelectronic device applications. In general, the emergence of complex patterns and structures is explained by symmetry breaking in homogeneous media, which is caused by local activity. This book argues that the principle of local activity is really fundamental in science, and can even be identified in quantum cosmology as symmetry breaking of local gauge symmetries generating the complexity of matter and forces in our universe. Applications are considered in economic, financial, and social systems with the emergence of equilibrium states, symmetry breaking at critical points of phase transitions and risky acting at the edge of chaos.
Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814397563
Total Pages : 349 pages
Book Rating : 4.8/5 (143 download)
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume V) written by Leon O Chua and published by World Scientific. This book was released on 2012-03-13 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.
Author : Sir Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (47 download)
Download or read book The Works of Sir Walter Ralegh, Kt, Now First Collected: The history of the world written by Sir Walter Raleigh and published by . This book was released on 1829 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 496 pages
Book Rating : 4.:/5 (319 download)
Download or read book The history of the world written by Sir Walter Raleigh and published by . This book was released on 1829 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 506 pages
Book Rating : 4.3/5 (97 download)
Download or read book The Works of Sir Walter Ralegh, Kt., Now First Collected: -7. The history of the world written by Sir Walter Raleigh and published by . This book was released on 1829 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 494 pages
Book Rating : 4.:/5 (334 download)
Download or read book The Works of Sir Walter Ralegh, Kt: The history of the world written by Sir Walter Raleigh and published by . This book was released on 1829 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sir Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 500 pages
Book Rating : 4.:/5 (9 download)
Download or read book -7. The history of the world written by Sir Walter Raleigh and published by . This book was released on 1829 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Walter Raleigh
Publisher :
ISBN 13 :
Total Pages : 498 pages
Book Rating : 4.3/5 (7 download)
Download or read book The Works of Sir Walter Ralegh, Kt., Now First Collected written by Walter Raleigh and published by . This book was released on 1829 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Leon O. Chua
Publisher : World Scientific
ISBN 13 : 9814390526
Total Pages : 349 pages
Book Rating : 4.8/5 (143 download)
Download or read book A Nonlinear Dynamics Perspective of Wolfram's New Kind of Science written by Leon O. Chua and published by World Scientific. This book was released on 2012 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence . Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss . Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules. But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine .
Author : Leon O Chua
Publisher : World Scientific
ISBN 13 : 9814460893
Total Pages : 579 pages
Book Rating : 4.8/5 (144 download)
Download or read book Nonlinear Dynamics Perspective Of Wolfram's New Kind Of Science, A (Volume Vi) written by Leon O Chua and published by World Scientific. This book was released on 2013-07-10 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or blue (for binary state 0), forming a toy universe of 256 Boolean cubes, each bearing a different vertex color combination.The corresponding collection of 256 distinct Boolean cubes are then segegrated logically into 6 distinct groups where members from each group share certain common dynamics which allow the long-term evolution of the color configuration of each bit string, of arbitrary length, to be predicted painlessly, via a toy-like gaming procedure, without involving any calculation. In particular, the evolution of any bit string bearing any initial color configuration which resides in any one of the possibly many distinct attractors, can be systematically predicted, by school children who are yet to learn arithmetic, via a simple recipe, for any Boolean cube belonging to group 1, 2, 3, or 4. The simple recipe for predicting the time-asymptotic behaviors of Boolean cubes belonging to groups 1, 2, and 3 has been covered in Vols. I, II, ..., V.This final volume continues the recipe for each of the 108, out of 256, local rules, dubbed the Bernoulli rules, belonging to group 4. Here, for almost half of the toy universe, surprisingly simple recipes involving only the following three pieces of information are derived in Vol. VI; namely, a positive integer τ, a positive, or negative, integer σ, and a sign parameter β > 0, or β 0. In particular, given any color configuration belonging to an attractor of any one of the 108 Boolean cubes from group 4, any child can predict the color configuration after τ generations, without any computation, by merely shifting each cell σ bits to the left (resp. right) if σ 0 (resp. σ
Author : Peter Mitchell
Publisher : Associated University Presse
ISBN 13 : 9780838640180
Total Pages : 722 pages
Book Rating : 4.6/5 (41 download)
Download or read book The Purple Island and Anatomy in Early Seventeenth-century Literature, Philosophy, and Theology written by Peter Mitchell and published by Associated University Presse. This book was released on 2007 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out to reconstruct and analyze the rationality of Phineas Fletcher's use of figurality in The Purple Island (1633) - a poetic allegory of human anatomy. This book demonstrates that the analogies and metaphors of literary works share coherence and consistency with anatomy textbooks.
