By Roman V. Belavkin (auth.), Alexey Sorokin, Robert Murphey, My T. Thai, Panos M. Pardalos (eds.)
This booklet provides fresh advancements and effects came upon by way of individuals of the 3rd overseas convention at the Dynamics of knowledge platforms, which came about on the collage of Florida, Gainesville FL, united states on February 16-18, 2011. the aim of this convention used to be to compile scientists and engineers from undefined, executive, and universities to interchange wisdom and ends up in a wide variety of subject matters correct to the speculation and perform of the dynamics of data systems.
Dynamics of knowledge performs an more and more serious position in our society. The impression of data on social, organic, genetic, and army structures has to be greater understood to accomplish huge advances within the strength and figuring out of those structures. functions are common and contain: examine in evolutionary concept, optimization of data workflow, army purposes, weather networks, collision paintings, and lots more and plenty more.
Dynamics of data performs an more and more serious function in our society. The impact of data on social, organic, genetic, and armed forces platforms has to be greater understood to accomplish huge advances within the power and figuring out of those platforms. purposes are frequent and comprise: examine in evolutionary conception, optimization of knowledge workflow, army purposes, weather networks, collision paintings, and lots more and plenty more.
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Extra resources for Dynamics of Information Systems: Mathematical Foundations
Nauk, Tekh. Kibern, 1, 20–31 (1994) 3. : A Mathematical Structure for Emergent Computation. Kluwer Academic Publishers, Dordrecht (1999) 4. : Description of complex systems in terms of self-organization processes of prime integer relations. M. ) Complexus Mundi: Emergent Patterns in Nature, pp. 63–72. World Scientific, New Jersey (2006). Available via arXiv:nlin/0509008 5. : Towards an irreducible theory of complex systems. , Prokopyev, O. ) Cooperative Networks: Control and Optimization, pp. 147–170.
J. Phys. Conf. 174, 012055 (2009) 9. : Integers as a key to understanding quantum mechanics. In: Khrennikov, A. ) Quantum Theory: Reconsideration of Foundations - 5, pp. 321–328. AIP Conference Proceedings, vol. 1232, New York (2010) 10. : On possible implications of self-organization processes through transformation of laws of arithmetic into laws of space and time. 5342v1 11. : Relativity: The Special and the General Theory - A Popular Exposition. Routledge, London (1960) 12. : On the role of nonlocal correlations in optimization.
Remarkably, a prime integer relation of any level can be considered as a complex system itself. Indeed, it is formed by a process from integers as the initial building blocks and then from prime integer relations of the levels below with the relationships set by arithmetic. Because each and every element in the formation is necessary and sufficient for the prime integer relation to exist, we call such an integer relation prime. In the geometrical form the formation of a prime integer relation can be isomorphically represented by the formation of two-dimensional geometrical patterns [1–3].
Dynamics of Information Systems: Mathematical Foundations by Roman V. Belavkin (auth.), Alexey Sorokin, Robert Murphey, My T. Thai, Panos M. Pardalos (eds.)