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Small Universal Cellular Automata in Hyperbolic Spaces A Collection of Jewels /
Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interest both to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2013.
|
| Edición: | 1st ed. 2013. |
| Colección: | Emergence, Complexity and Computation,
4 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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|---|---|---|---|
| 001 | 978-3-642-36663-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220114071756.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130305s2013 gw | s |||| 0|eng d | ||
| 020 | |a 9783642366635 |9 978-3-642-36663-5 | ||
| 024 | 7 | |a 10.1007/978-3-642-36663-5 |2 doi | |
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| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Margenstern, Maurice. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Small Universal Cellular Automata in Hyperbolic Spaces |h [electronic resource] : |b A Collection of Jewels / |c by Maurice Margenstern. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2013. | |
| 300 | |a IX, 320 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Emergence, Complexity and Computation, |x 2194-7295 ; |v 4 | |
| 505 | 0 | |a Why hyperbolic geometry? -- Cellular automata and the railway model -- Inthepentagrid -- In the heptagrid -- In the tilings -- In the dodecagrid -- Strongly universal hyperbolic cellular automata -- The help of programming. | |
| 520 | |a Hyperbolic geometry is an essential part of theoretical astrophysics and cosmology. Besides specialists of these domains, many specialists of new domains start to show a growing interest both to hyperbolic geometry and to cellular automata. This is especially the case in biology and computer science. This book gives the reader a deep and efficient introduction to an algorithmic approach to hyperbolic geometry. It focuses the attention on the possibilities to obtain in this frame the power of computing everything a computer can compute, that is to say: universality. The minimal ways to get universality are invistigated in a large family of tilings of the hyperbolic plane. In several cases the best results are obtained.In all cases, the results are close to the theoretical best values. This gives rise to fantastic illustrations: the results are jewels in all meanings of the word. ------------------------ Maurice MARGENSTERN is professor emeritus at the University of Lorraine, he is a member of LITA, the research unit of computer science in the campus of Metz of this university. Professor Margenstern is amongst top world experts in theory of computation, mathematical machines and geometry. He is a pioneer in cellular automata in hyperbolic spaces. | ||
| 650 | 0 | |a Dynamics. | |
| 650 | 0 | |a Nonlinear theories. | |
| 650 | 0 | |a System theory. | |
| 650 | 1 | 4 | |a Applied Dynamical Systems. |
| 650 | 2 | 4 | |a Complex Systems. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642366642 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642366628 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642442049 |
| 830 | 0 | |a Emergence, Complexity and Computation, |x 2194-7295 ; |v 4 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-36663-5 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
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| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||