A nonlinear dynamics perspective of Wolfram's new kind of science.: Volume V /
Annotation
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
[2012]
|
| Schriftenreihe: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 80. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Annotation |
| Beschreibung: | 1 online resource (349 pages) : illustrations (chiefly color) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814390521 9814390526 |
Internformat
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| 245 | 0 | 2 | |a A nonlinear dynamics perspective of Wolfram's new kind of science. |n Volume V / |c Leon O. Chua, University of California at Berkeley, USA. |
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| 264 | 4 | |c ©2012 | |
| 300 | |a 1 online resource (349 pages) : |b illustrations (chiefly color) | ||
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| 588 | 0 | |a Online resource; title from PDF title page (ebrary, viewed February 5, 2014). | |
| 520 | 8 | |a Annotation |b When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts. 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. | |
| 600 | 1 | 0 | |a Wolfram, Stephen. |t New kind of science. |
| 630 | 0 | 7 | |a New kind of science (Wolfram, Stephen) |2 fast |
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| 650 | 0 | |a Nonlinear theories. |0 http://id.loc.gov/authorities/subjects/sh85092332 | |
| 650 | 6 | |a Automates cellulaires. | |
| 650 | 6 | |a Complexité de calcul (Informatique) | |
| 650 | 6 | |a Dynamique. | |
| 650 | 6 | |a Théories non linéaires. | |
| 650 | 7 | |a LAW |x Administrative Law & Regulatory Practice. |2 bisacsh | |
| 650 | 7 | |a Cellular automata |2 fast | |
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| 650 | 7 | |a Nonlinear theories |2 fast | |
| 700 | 1 | |a Chua, Leon O., |d 1936- |1 https://id.oclc.org/worldcat/entity/E39PBJrRbHY6ykbmyVgHqWkJjC |0 http://id.loc.gov/authorities/names/n82204052 | |
| 758 | |i has work: |a A nonlinear dynamics perspective of Wolfram's new kind of science (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGdk7jVk4MMTtd879gJTDy |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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| 776 | 0 | 8 | |i Online version: |a Chua, Leon O., 1936- |t Nonlinear dynamics perspective of Wolfram's New kind of science. |d Singapore ; Hackensack, N.J. : World Scientific, ©2006- |w (OCoLC)679895409 |
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| indexdate | 2024-11-27T13:25:51Z |
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| language | English |
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| series | World Scientific series on nonlinear science. Monographs and treatises ; |
| series2 | World Scientific series on nonlinear science. Series A, Monographs and treatises ; |
| spelling | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume V / Leon O. Chua, University of California at Berkeley, USA. New Jersey : World Scientific, [2012] ©2012 1 online resource (349 pages) : illustrations (chiefly color) text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific series on nonlinear science. Series A, Monographs and treatises ; volume 80 Includes bibliographical references and index. Online resource; title from PDF title page (ebrary, viewed February 5, 2014). Annotation When not immersed in science, he relaxes by searching for Wagner's leitmotifs, musing over Kandinsky's chaos, and contemplating Wittgenstein's inner thoughts. 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. Wolfram, Stephen. New kind of science. New kind of science (Wolfram, Stephen) fast Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. LAW Administrative Law & Regulatory Practice. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast Chua, Leon O., 1936- https://id.oclc.org/worldcat/entity/E39PBJrRbHY6ykbmyVgHqWkJjC http://id.loc.gov/authorities/names/n82204052 has work: A nonlinear dynamics perspective of Wolfram's new kind of science (Text) https://id.oclc.org/worldcat/entity/E39PCGdk7jVk4MMTtd879gJTDy https://id.oclc.org/worldcat/ontology/hasWork Print version: Nonlinear dynamics perspective of Wolfram's new kind of science. Volume V. 9812569774 9789812569776 (DLC) 2006284360 (OCoLC)71788983 Online version: Chua, Leon O., 1936- Nonlinear dynamics perspective of Wolfram's New kind of science. Singapore ; Hackensack, N.J. : World Scientific, ©2006- (OCoLC)679895409 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 80. http://id.loc.gov/authorities/names/no94008495 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=689794 Volltext |
| spellingShingle | A nonlinear dynamics perspective of Wolfram's new kind of science. World Scientific series on nonlinear science. Monographs and treatises ; Wolfram, Stephen. New kind of science. New kind of science (Wolfram, Stephen) fast Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. LAW Administrative Law & Regulatory Practice. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85021692 http://id.loc.gov/authorities/subjects/sh85029473 http://id.loc.gov/authorities/subjects/sh85040316 http://id.loc.gov/authorities/subjects/sh85092332 |
| title | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_auth | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_exact_search | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_full | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume V / Leon O. Chua, University of California at Berkeley, USA. |
| title_fullStr | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume V / Leon O. Chua, University of California at Berkeley, USA. |
| title_full_unstemmed | A nonlinear dynamics perspective of Wolfram's new kind of science. Volume V / Leon O. Chua, University of California at Berkeley, USA. |
| title_short | A nonlinear dynamics perspective of Wolfram's new kind of science. |
| title_sort | nonlinear dynamics perspective of wolfram s new kind of science |
| topic | Wolfram, Stephen. New kind of science. New kind of science (Wolfram, Stephen) fast Cellular automata. http://id.loc.gov/authorities/subjects/sh85021692 Computational complexity. http://id.loc.gov/authorities/subjects/sh85029473 Dynamics. http://id.loc.gov/authorities/subjects/sh85040316 Nonlinear theories. http://id.loc.gov/authorities/subjects/sh85092332 Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. LAW Administrative Law & Regulatory Practice. bisacsh Cellular automata fast Computational complexity fast Dynamics fast Nonlinear theories fast |
| topic_facet | Wolfram, Stephen. New kind of science. New kind of science (Wolfram, Stephen) Cellular automata. Computational complexity. Dynamics. Nonlinear theories. Automates cellulaires. Complexité de calcul (Informatique) Dynamique. Théories non linéaires. LAW Administrative Law & Regulatory Practice. Cellular automata Computational complexity Dynamics Nonlinear theories |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=689794 |
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