Media Theory

Interdisciplinary Applied Mathematics
1. Auflage. Softcover version of original hardcover Auflage 2008
ISBN: 978-3-642-09083-7
Verlag: Springer

Buch, Englisch, 328 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 517 g

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. 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.

Zielgruppe

Research

Autoren/Hrsg.

Eppstein, David

Ovchinnikov, Sergei

Falmagne, Jean-Claude

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Wissensbasierte Systeme, Expertensysteme
• Mathematik | Informatik Mathematik Operations Research Graphentheorie

Inhaltsverzeichnis

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.