Variation Principle in Informational Macrodynamics

Variation Principle in Informational Macrodynamics
Author: Vladimir S. Lerner
Publisher: Springer Science & Business Media
Total Pages: 278
Release: 2012-12-06
Genre: Computers
ISBN: 1461504015


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Information Macrodynamics (IMD) belong to an interdisciplinary science that represents a new theoretical and computer-based methodology for a system informational descriptionand improvement,including various activities in such areas as thinking, intelligent processes, communications, management, and other nonphysical subjects with their mutual interactions, informational superimposition, and theinformation transferredbetweeninteractions. The IMD is based on the implementation of a single concept by a unique mathematical principle and formalism, rather than on an artificial combination of many arbitrary, auxiliary concepts and/or postulates and different mathematical subjects, such as the game, automata, catastrophe, logical operations theories, etc. This concept is explored mathematically using classical mathematics as calculus of variation and the probability theory, which are potent enough, without needing to developnew,specifiedmathematical systemicmethods. The formal IMD model automatically includes the related results from other fields, such as linear, nonlinear, collective and chaotic dynamics, stability theory, theory of information, physical analogies of classical and quantum mechanics, irreversible thermodynamics, andkinetics. The main IMD goal is to reveal the information regularities, mathematically expressed by the considered variation principle (VP), as a mathematical tool to extractthe regularities and define the model, whichdescribes theregularities. The IMD regularities and mechanisms are the results of the analytical solutions and are not retained by logical argumentation, rational introduction, and a reasonable discussion. The IMD's information computer modeling formalism includes a human being (as an observer, carrier and producer ofinformation), with a restoration of the model during the objectobservations.


Variation Principle in Informational Macrodynamics
Language: en
Pages: 278
Authors: Vladimir S. Lerner
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Information Macrodynamics (IMD) belong to an interdisciplinary science that represents a new theoretical and computer-based methodology for a system information
Theory of Information
Language: en
Pages: 689
Authors: Mark Burgin
Categories: Computers
Type: BOOK - Published: 2010 - Publisher: World Scientific

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This unique volume presents a new approach OCo the general theory of information OCo to scientific understanding of information phenomena. Based on a thorough a
Information Path Functional and Informational Macrodynamics
Language: en
Pages: 0
Authors: Vladimir S. Lerner
Categories: Stochastic control theory
Type: BOOK - Published: 2009-07 - Publisher:

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The book subject is mathematical formalism, describing the creation of the dynamic and information regularities from stochastics. The formalism is based on the
Information Systems Analysis and Modeling
Language: en
Pages: 329
Authors: Vladimir S. Lerner
Categories: Computers
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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Informational Macrodynamics (IMD) presents the unified information systemic approach with common information language for modeling, analysis and optimization of
Progress in Evolution Equations
Language: en
Pages: 242
Authors: Gaston M. N'Guerekata
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher:

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This book presents new research from around the world on the theory and methods of linear and non-linear evolution equations as well as their further applicatio