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Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach - Guy Jumarie
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Guy Jumarie:
Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach - nieuw boek

ISBN: 9789048154678

ID: 978904815467

Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon''s information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon''s information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon''s theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach. Guy Jumarie, Books, Computers, Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach Books>Computers, Springer-Verlag/Sci-Tech/Trade

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Maximum Entropy, Information Without Probability and Complex Fractals : Classical and Quantum Approach - Guy Jumarie
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Guy Jumarie:
Maximum Entropy, Information Without Probability and Complex Fractals : Classical and Quantum Approach - gebruikt boek

ISBN: 9048154677

ID: 10902226

Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach. computers,computers and technology Computers & Technology, Springer

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Maximum Entropy, Information Without Probability and Complex Fractals - Guy Jumarie
(*)
Guy Jumarie:
Maximum Entropy, Information Without Probability and Complex Fractals - pocketboek

ISBN: 9789048154678

ID: 9789048154678

Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon's information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon's information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon's theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach. Books > Computer Science Soft cover, Springer Shop

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Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach
(*)
Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach - nieuw boek

ISBN: 9789048154678

ID: 978904815467

Every thought is a throw of dice. Stephane Mallarme This book is the last one of a trilogy which reports a part of our research work over nearly thirty years (we discard our non-conventional results in automatic control theory and applications on the one hand, and fuzzy sets on the other), and its main key words are Information Theory, Entropy, Maximum Entropy Principle, Linguistics, Thermodynamics, Quantum Mechanics, Fractals, Fractional Brownian Motion, Stochastic Differential Equations of Order n, Stochastic Optimal Control, Computer Vision. Our obsession has been always the same: Shannon''s information theory should play a basic role in the foundations of sciences, but subject to the condition that it be suitably generalized to allow us to deal with problems which are not necessarily related to communication engineering. With this objective in mind, two questions are of utmost importance: (i) How can we introduce meaning or significance of information in Shannon''s information theory? (ii) How can we define and/or measure the amount of information involved in a form or a pattern without using a probabilistic scheme? It is obligatory to find suitable answers to these problems if we want to apply Shannon''s theory to science with some chance of success. For instance, its use in biology has been very disappointing, for the very reason that the meaning of information is there of basic importance, and is not involved in this approach. Books > Computers List_Books

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Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach - Guy Jumarie
(*)
Guy Jumarie:
Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach - pocketboek

ISBN: 9789048154678

ID: 9789048154678

Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach Maximum-Entropy-Information-Without-Probability-and-Complex-Fractals~~Guy-Jumarie Technology>Apple>Other Database Tools Paperback, Springer Netherlands

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Bijzonderheden over het boek
Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach

This book presents material on three topics, namely the amount of information involved in non-random functions, the amount of information involved in non-probabilistic square matrices (i.e. which are not quantum density matrices), and a new model of complex-valued fractional Brownian motion of order n defined via random walks in the complex plane. These three subjects, which on the surface have no common features, are, in fact, direct consequences of the maximum entropy principle. Moreover, information on non-random functions and complex fractional Brownian motion are directly related to fractals. Thus, a unified framework is constructed which encompasses information with and without probability, quantum information of square matrices with and without probabilistic meaning, and fractals in the complex plane. This volume also features many applications. Audience: This work is intended for theoretical and mathematical physicists, but also for applied mathematicians, experimental physicists, communication engineers, electrical engineers, practitioners in pattern recognition and computer vision, control systems engineers, and theoretical biologists.

Gedetalleerde informatie over het boek. - Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach


EAN (ISBN-13): 9789048154678
ISBN (ISBN-10): 9048154677
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer Netherlands
292 Bladzijden
Gewicht: 0,445 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2011-05-31T12:16:17+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2019-07-22T19:03:05+02:00 (Amsterdam)
ISBN/EAN: 9789048154678

ISBN - alternatieve schrijfwijzen:
90-481-5467-7, 978-90-481-5467-8


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