Media Theory Interdisciplinary Applied Mathematics /

• Main Authors: Eppstein, David (Author), Falmagne, Jean-Claude (Author), Ovchinnikov, Sergei (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Edition: First edition.
• Subjects: Mathematics.; Computers.; Artificial intelligence.; Applied mathematics.; Engineering mathematics.; Combinatorics.; Applications of Mathematics.; Theory of Computation.; Artificial Intelligence (incl. Robotics).

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...

Table of Contents:

• 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.