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02740nam a22005295i 4500 |
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978-3-540-71697-6 |
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20151204191609.0 |
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100301s2008 gw | s |||| 0|eng d |
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|a 9783540716976
|9 978-3-540-71697-6
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|a 10.1007/978-3-540-71697-6
|2 doi
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|d GrThAP
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|a T57-57.97
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|a PBW
|2 bicssc
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|a MAT003000
|2 bisacsh
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|a 519
|2 23
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|a Eppstein, David.
|e author.
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|a Media Theory
|h [electronic resource] :
|b Interdisciplinary Applied Mathematics /
|c by David Eppstein, Jean-Claude Falmagne, Sergei Ovchinnikov.
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|a First edition.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2008.
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|a X, 328 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Examples and Preliminaries -- Basic Concepts -- Media and Well-graded Families -- Closed Media and ?-Closed Families -- Well-Graded Families of Relations -- Mediatic Graphs -- Media and Partial Cubes -- Media and Integer Lattices -- Hyperplane arrangements and their media -- Algorithms -- Visualization of Media -- Random Walks on Media -- Applications.
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|a The focus of this book is a mathematical structure modeling a physical or biological system that can be in any of a number of `states.' Each state is characterized by a set of binary features, and differs from some other neighbor state or states by just one of those feature. A simple example of a `state’ is a partial solution of a jigsaw puzzle, which can be transformed into another partial solution or into the final solution just by adding or removing a single adjoining piece. The evolution of such a system over time is considered. Such a structure is analyzed from algebraic and probabilistic (stochastic) standpoints.
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|a Mathematics.
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|a Computers.
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|a Artificial intelligence.
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|a Applied mathematics.
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650 |
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|a Engineering mathematics.
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|a Combinatorics.
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|a Mathematics.
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|a Applications of Mathematics.
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650 |
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|a Theory of Computation.
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650 |
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|a Artificial Intelligence (incl. Robotics).
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650 |
2 |
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|a Combinatorics.
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700 |
1 |
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|a Falmagne, Jean-Claude.
|e author.
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|a Ovchinnikov, Sergei.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783540716969
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856 |
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|u http://dx.doi.org/10.1007/978-3-540-71697-6
|z Full Text via HEAL-Link
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912 |
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|a ZDB-2-SMA
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950 |
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|a Mathematics and Statistics (Springer-11649)
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