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Mathematics - Applications | Media Theory - Interdisciplinary Applied Mathematics

Media Theory

Interdisciplinary Applied Mathematics

Eppstein, David, Falmagne, Jean-Claude, Ovchinnikov, Sergei

2008, X, 328 p.

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  • Provides an algebraic framework and fundamental results of Media Theory
  • Reference for e-games, e-learning, e-genetics

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.

Content Level » Research

Keywords » Artificial Intelligence - Cognitive Science - Combinatorics - Educational Technology - Mathematical Psychology - algorithms - visualization

Related subjects » Applications - Artificial Intelligence - Theoretical Computer Science

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