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Titlebook: Maximum Entropy, Information Without Probability and Complex Fractals; Classical and Quantu Guy Jumarie Book 2000 Springer Science+Business

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书目名称Maximum Entropy, Information Without Probability and Complex Fractals
副标题Classical and Quantu
编辑Guy Jumarie
视频video
丛书名称Fundamental Theories of Physics
图书封面Titlebook: Maximum Entropy, Information Without Probability and Complex Fractals; Classical and Quantu Guy Jumarie Book 2000 Springer Science+Business
描述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 w
出版日期Book 2000
关键词Brownian motion; communication; entropy; fractional Brownian motion; information; information theory; rand
版次1
doihttps://doi.org/10.1007/978-94-015-9496-7
isbn_softcover978-90-481-5467-8
isbn_ebook978-94-015-9496-7Series ISSN 0168-1222 Series E-ISSN 2365-6425
issn_series 0168-1222
copyrightSpringer Science+Business Media Dordrecht 2000
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Information Thermodynamics and Complex-Valued Fractional Brownian Motion of Order ,,specially on the various relationships between information, on the one hand, and such topics as order, disorder, complexity, and organization on the other. Loosely speaking, these books and articles can be divided into two kinds: those which are qualitative and philosophical, and those which deal wi
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Outline of Applications,f the above results. Analysis of the stochastic stability of dynamical systems, the theory of time series of fractional order, fractals in image processing, solution of the master equation, definition of the master equation of fractional order, optimal control of dynamical systems subject to complex
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Guy Jumarietion of detached plasma 308 8. 8. 4 Summary 309 8. 9 Summary and Conclusions 310 References 312 9. CLUSTER AT THE MAGNETOSPHERIC CUSPS 321 9. 1 Introduction 321 9. 1. 1 Previous work 323 9. 1. 2 How Cluster investigates the cusp 325 9. 2 The High-Altitude Cusp 326 9. 2. 1 March 17, 2001 328 9. 2. 2
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