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Media Theory

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This book presents a mathematical structure modeling a physical or biological system that can be in any of a number of states. Eac... Weiterlesen
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Beschreibung

This book presents 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 features. The book considers the evolution of such a system over time and analyzes such a structure from algebraic and probabilistic (stochastic) standpoints.



Klappentext

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.



Inhalt
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.

Produktinformationen

Titel: Media Theory
Untertitel: Interdisciplinary Applied Mathematics
Autor:
EAN: 9783540716976
ISBN: 978-3-540-71697-6
Digitaler Kopierschutz: Wasserzeichen
Format: E-Book (pdf)
Herausgeber: Springer
Genre: Grundlagen
Anzahl Seiten: 328
Veröffentlichung: 25.10.2007
Jahr: 2007
Untertitel: Englisch
Dateigrösse: 2.4 MB