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The Entropy Vector

The Entropy Vector PDF 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.

The Entropy Vector

The Entropy Vector PDF 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.

Entropy Vector, The: Connecting Science And Business

Entropy Vector, The: Connecting Science And Business PDF 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.

New Foundations for Information Theory

New Foundations for Information Theory PDF 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.

Entropic Vector Optimization and Simulated Entropy

Entropic Vector Optimization and Simulated Entropy PDF Author: Asaad M. Abu Asaad-Sultan
Publisher:
ISBN:
Category :
Languages : en
Pages :

Book Description


Scientometrics

Scientometrics PDF Author: Mari Jibu
Publisher: BoD – Books on Demand
ISBN: 1789233062
Category : Science
Languages : en
Pages : 244

Book Description
Technological change is one of the greatest issues in the modern world. As the world faces societal challenges, e.g., climate challenges, aging problem, and energy security, technology will contribute to new or better solutions for those problems. New technologies take time to develop and mature; moreover, they tend to be born in the gaps of multiple technology fields; therefore, early detection of emerging technological concepts across multiple disciplines will be a very important issue. Our goal seeks to develop automated methods that aid in the systematic, continuous, and comprehensive assessment of technological emergence using one of the major foresight exercises, scientometrics. There is now a huge flood of scientific and technical information, especially scientific publications and patent information. Using the information patterns of emergence for technological concepts has been discovered and theories of technical emergence have been also developed in several years. We have been developing visualization tools in which thousands of technical areas have been interacted with each other and evolved in time. Several indicators of technical emergence have been improved by universities, international organizations, and funding agencies. This book intends to provide readers with a comprehensive overview of the current state of the art in scientometrics that focuses on the systematic, continuous, and comprehensive assessment of technological emergence.

Transfer Entropy

Transfer Entropy PDF Author: Deniz Gençağa
Publisher: MDPI
ISBN: 3038429198
Category : Mathematics
Languages : en
Pages : 335

Book Description
This book is a printed edition of the Special Issue "Transfer Entropy" that was published in Entropy

The Relative Entropy of a Random Vector with Respect to Another Random Vector

The Relative Entropy of a Random Vector with Respect to Another Random Vector PDF Author: M. Rosenblatt-Roth
Publisher:
ISBN:
Category :
Languages : en
Pages : 72

Book Description
This paper discusses some problems connected with the concept of entropy. Keywords: Additivity theorems; Entropy; Information theory. Relative entropy is defined as h (xi:eta) + h(xi:eta) a measure of the random variables xi eta.

The Entropy Principle

The Entropy Principle PDF 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.

The Mathematical Theory of Communication

The Mathematical Theory of Communication PDF 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.

Maximum Entropy, Information Without Probability and Complex Fractals

Maximum Entropy, Information Without Probability and Complex Fractals PDF 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.