Models of Massive Parallelism: Analysis of Cellular Automata and Neural Networks
Book information
Description
Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of the differential and integral Calculus deals with the problem of passing from local information (as expressed, for example, by a differential equation, or the contour of a region) to global features of a system's behavior (an equation of growth, or an area). Fundamental laws in the exact sciences seek to express the observable global behavior of physical objects through equations about local interaction of their components, on the assumption that the continuum is the most accurate model of physical reality. Paradoxically, much of modern physics calls for a fundamen tal discrete component in our understanding of the physical world. Useful computational models must be eventually constructed in hardware, and as such can only be based on local interaction of simple processing elements.
Similar books
Fractals and chaos. The Mandelbrot set and beyond
2004 · DJVU
Physics, Nature and Society: a Guide to Order and Complexity in Our World
2014 · PDF
Radio Resource Management in Cellular Systems
2001 · PDF
Counterterrorism and Open Source Intelligence
2011 · PDF
Thermodynamik: Grundlagen und technische Anwendungen – Band 2: Mehrstoffsysteme und chemische Reaktionen
2010 · PDF
Thermodynamik: Von der Mikrophysik zur Makrophysik
2010 · PDF
Ensembles on Configuration Space: Classical, Quantum, and Beyond
2016 · PDF
Quantum Interaction: 10th International Conference, QI 2016, San Francisco, CA, USA, July 20-22, 2016, Revised Selected Papers
2017 · PDF