Maximum Entropy, Information Without Probability and Complex Fractals: Classical and Quantum Approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application
112 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XIX, 270 p) |
| ISBN: | 9789401594967 9789048154678 |
| DOI: | 10.1007/978-94-015-9496-7 |
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Datensatz im Suchindex
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| series2 | Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application |
| spelling | Jumarie, Guy Verfasser aut Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach by Guy Jumarie Dordrecht Springer Netherlands 2000 1 Online-Ressource (XIX, 270 p) txt rdacontent c rdamedia cr rdacarrier Fundamental Theories of Physics, An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application 112 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 Computer science Coding theory Mathematics Distribution (Probability theory) Computer Science Coding and Information Theory Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Applications of Mathematics Informatik Mathematik Informationstheorie (DE-588)4026927-9 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf Entropie (DE-588)4014894-4 s Informationstheorie (DE-588)4026927-9 s 1\p DE-604 https://doi.org/10.1007/978-94-015-9496-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jumarie, Guy Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach Computer science Coding theory Mathematics Distribution (Probability theory) Computer Science Coding and Information Theory Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Applications of Mathematics Informatik Mathematik Informationstheorie (DE-588)4026927-9 gnd Entropie (DE-588)4014894-4 gnd |
| subject_GND | (DE-588)4026927-9 (DE-588)4014894-4 |
| title | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach |
| title_auth | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach |
| title_exact_search | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach |
| title_full | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach by Guy Jumarie |
| title_fullStr | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach by Guy Jumarie |
| title_full_unstemmed | Maximum Entropy, Information Without Probability and Complex Fractals Classical and Quantum Approach by Guy Jumarie |
| title_short | Maximum Entropy, Information Without Probability and Complex Fractals |
| title_sort | maximum entropy information without probability and complex fractals classical and quantum approach |
| title_sub | Classical and Quantum Approach |
| topic | Computer science Coding theory Mathematics Distribution (Probability theory) Computer Science Coding and Information Theory Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Applications of Mathematics Informatik Mathematik Informationstheorie (DE-588)4026927-9 gnd Entropie (DE-588)4014894-4 gnd |
| topic_facet | Computer science Coding theory Mathematics Distribution (Probability theory) Computer Science Coding and Information Theory Probability Theory and Stochastic Processes Statistical Physics, Dynamical Systems and Complexity Applications of Mathematics Informatik Mathematik Informationstheorie Entropie |
| url | https://doi.org/10.1007/978-94-015-9496-7 |
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