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Media Theory : Interdisciplinary Applied Mathematics / by David Eppstein, Jean-Claude Falmagne, Sergei Ovchinnikov
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008Edition: First editionDescription: Online-Ressource (digital)ISBN:- 9783540716976
- 519
- 510
- 510
- T57-57.97
- QA9.7
Contents:
Summary: 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.Summary: 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.PPN: PPN: 1645966305Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
Front Matter; 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; Back Matter
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