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Author: Robert D. Handscombe Publisher: World Scientific ISBN: 9812385711 Category : Business & Economics Languages : en Pages : 198
Book Description
The authors suggest that a clearer understanding of entropy and the choices it presents will assist in management of change--or, as they put it, to manage disorder one needs to control the entropy vector.
Author: Robert D. Handscombe Publisher: World Scientific ISBN: 9812385711 Category : Business & Economics Languages : en Pages : 198
Book Description
The authors suggest that a clearer understanding of entropy and the choices it presents will assist in management of change--or, as they put it, to manage disorder one needs to control the entropy vector.
Author: Robert D. Handscombe Publisher: World Scientific ISBN: 9812565434 Category : Computers Languages : en Pages : 198
Book Description
How do managers and entrepreneurs evaluate risk, encourage creativityor manage change? Might a better grasp of science help? The authorsof this book suggest that there is real value in trying to connectscience to business and that science is far too important just to beleft to the scientists
Author: David Ellerman Publisher: Springer Nature ISBN: 3030865525 Category : Philosophy Languages : en Pages : 121
Book Description
This monograph offers a new foundation for information theory that is based on the notion of information-as-distinctions, being directly measured by logical entropy, and on the re-quantification as Shannon entropy, which is the fundamental concept for the theory of coding and communications. Information is based on distinctions, differences, distinguishability, and diversity. Information sets are defined that express the distinctions made by a partition, e.g., the inverse-image of a random variable so they represent the pre-probability notion of information. Then logical entropy is a probability measure on the information sets, the probability that on two independent trials, a distinction or “dit” of the partition will be obtained. The formula for logical entropy is a new derivation of an old formula that goes back to the early twentieth century and has been re-derived many times in different contexts. As a probability measure, all the compound notions of joint, conditional, and mutual logical entropy are immediate. The Shannon entropy (which is not defined as a measure in the sense of measure theory) and its compound notions are then derived from a non-linear dit-to-bit transform that re-quantifies the distinctions of a random variable in terms of bits—so the Shannon entropy is the average number of binary distinctions or bits necessary to make all the distinctions of the random variable. And, using a linearization method, all the set concepts in this logical information theory naturally extend to vector spaces in general—and to Hilbert spaces in particular—for quantum logical information theory which provides the natural measure of the distinctions made in quantum measurement. Relatively short but dense in content, this work can be a reference to researchers and graduate students doing investigations in information theory, maximum entropy methods in physics, engineering, and statistics, and to all those with a special interest in a new approach to quantum information theory.
Author: Claude E Shannon Publisher: University of Illinois Press ISBN: 025209803X Category : Language Arts & Disciplines Languages : en Pages : 141
Book Description
Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.
Author: Robert D Handscombe Publisher: World Scientific ISBN: 9814485241 Category : Business & Economics Languages : en Pages : 198
Book Description
How do managers and entrepreneurs evaluate risk, encourage creativity or manage change? Might a better grasp of science help? The authors of this book suggest that there is real value in trying to connect science to business and that science is far too important just to be left to the scientists.All of science is too large a prospect, so the authors limit themselves to looking at disorder. We must all learn to manage and control change, and there is plenty of social, technical and business change going on. The authors suggest that a clearer understanding of entropy and the choices it presents will assist in that management of change — or, as they put it, to manage disorder one needs to control the entropy vector.This book is for scientists and engineers aspiring to business success and for business people interested in new approaches.
Author: André Thess Publisher: Springer Science & Business Media ISBN: 3642133495 Category : Science Languages : en Pages : 186
Book Description
Entropy – the key concept of thermodynamics, clearly explained and carefully illustrated. This book presents an accurate definition of entropy in classical thermodynamics which does not “put the cart before the horse” and is suitable for basic and advanced university courses in thermodynamics. Entropy is the most important and at the same time the most difficult term of thermodynamics to understand. Many students are discontent with its classical definition since it is either based on “temperature” and “heat” which both cannot be accurately defined without entropy, or since it includes concepts such as “molecular disorder” which does not fit in a macroscopic theory. The physicists Elliott Lieb and Jakob Yngvason have recently developed a new formulation of thermodynamics which is free of these problems. The Lieb-Yngvason formulation of classical thermodynamics is based on the concept of adiabatic accessibility and culminates in the entropy principle. The entropy principle represents the accurate mathematical formulation of the second law of thermodynamics. Temperature becomes a derived quantity whereas ”heat” is no longer needed. This book makes the Lieb-Yngvason theory accessible to students. The presentation is supplemented by seven illustrative examples which explain the application of entropy and the entropy principle in practical problems in science and engineering.
Author: Guy Jumarie Publisher: Springer Science & Business Media ISBN: 9401594961 Category : Computers Languages : en Pages : 287
Book Description
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.
Author: Didier Dubois Publisher: Springer Science & Business Media ISBN: 1468452878 Category : Mathematics Languages : en Pages : 274
Book Description
In the evolution of scientific theories, concern with uncertainty is almost invariably a concomitant of maturation. This is certainly true of the evolution· of physics, economics, operations research, communication sciences, and a host of other fields. And it is true of what has been happening more recently in the area of artificial intelligence, most notably in the development of theories relating to the management of uncertainty in knowledge-based systems. In science, it is traditional to deal with uncertainty through the use of probability theory. In recent years, however, it has become increasingly clear that there are some important facets of uncertainty which do not lend themselves to analysis by classical probability-based methods. One such facet is that of lexical elasticity, which relates to the fuzziness of words in natural languages. As a case in point, even a simple relation X, Y, and Z, expressed as if X is small and Y is very large then between Z is not very small, does not lend itself to a simple interpretation within the framework of probability theory by reason of the lexical elasticity of the predicates small and large.
Author: K. Wojciechowski Publisher: Springer Science & Business Media ISBN: 9781402041785 Category : Computers Languages : en Pages : 532
Book Description
This volume, and the accompanying CD-ROM, contain 163 contributions from ICCVG04, which is one of the main international conferences in computer vision and computer graphics in Central Europe. This biennial conference was organised in 2004 jointly by the Association for Image Processing, the Polish-Japanese Institute of Information Technology, and the Silesian University of Technology. The conference covers a wide scope, including Computer Vision, Computational Geometry, Geometrical Models of Objects and Sciences, Motion Analysis, Visual Navigation and Active Vision, Image and Video Coding, Color and Multispectral Image Processing, Image Filtering and Enhancement, Virtual Reality and Multimedia Applications, Biomedical Applications, Image and Video Databases, Pattern Recognition, Modelling of Human Visual Perception, Computer Animation, Visualization and Data Presentation. These proceedings document cutting edge research in computer vision and graphics, and will be an essential reference for all researchers working in the area.
Author: Robert D. Handscombe
Author: Robert D. Handscombe
Author: Robert D. Handscombe
Author: David Ellerman
Author: Claude E Shannon
Author: Robert D Handscombe
Author: Deniz Gençağa
Author: André Thess
Author: Guy Jumarie
Author: Didier Dubois
Author: K. Wojciechowski