Author: B. Roy Frieden
Publisher: Cambridge University Press
ISBN: 9780521631679
Category : Computers
Languages : en
Pages : 334

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Book Description
A unified derivation of physics from Fisher information, giving new insights into physical phenomena.

Author: B. Roy Frieden
Publisher: Cambridge University Press
ISBN: 9780521009119
Category : Mathematics
Languages : en
Pages : 516

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Book Description
A new edition of the hugely successful 'Physics from Fisher Information'.

Author: Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 1846287774
Category : Computers
Languages : en
Pages : 375

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Book Description
This book uses a mathematical approach to deriving the laws of science and technology, based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). The authors show how to use EPI to determine the theoretical input/output laws of unknown systems. Will benefit readers whose math skill is at the level of an undergraduate science or engineering degree.

Author: R.F. Streater
Publisher: Springer Science & Business Media
ISBN: 3540365826
Category : Science
Languages : en
Pages : 169

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Book Description
This book deals with a selection of research topics in theoretical physics that have (almost) been proven to be a dead-end or continue at least to be highly controversial. Nevertheless, small but dedicated research communities continue to work on these issues. In a series of essays this book describes their work and struggle as well as the chances of any breakthrough in these areas. It is written as both an entertainment and serious study.

Author: Rolando Rebolledo
Publisher: World Scientific
ISBN: 9814338737
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.

Author:
Publisher: The Noetic Press
ISBN: 0967868777
Category :
Languages : en
Pages : 198

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Book Description

Author: Henning F Harmuth
Publisher: World Scientific
ISBN: 9814504572
Category : Science
Languages : en
Pages : 320

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Book Description
The success of Newton's mechanic, Maxwell's electrodynamic, Einstein's theories of relativity, and quantum mechanics is a strong argument for the space-time continuum. Nevertheless, doubts have been expressed about the use of a continuum in a science squarely based on observation and measurement. An exact science requires that qualitative arguments must be reduced to quantitative statements. The observability of a continuum can be reduced from qualitative arguments to quantitative statements by means of information theory.Information theory was developed during the last decades within electrical communications, but it is almost unknown in physics. The closest approach to information theory in physics is the calculus of propositions, which has been used in books on the frontier of quantum mechanics and the general theory of relativity. Principles of information theory are discussed in this book. The ability to think readily in terms of a finite number of discrete samples is developed over many years of using information theory and digital computers, just as the ability to think readily in terms of a continuum is developed by long use of differential calculus.

Author: Giacomo Mauro D'Ariano
Publisher: Cambridge University Press
ISBN: 1107043425
Category : Science
Languages : en
Pages : 359

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Book Description
A new presentation of quantum theory and quantum information based on fundamental principles, for anyone seeking a deeper understanding of the subject.

Author: Julian Hofrichter
Publisher: Springer
ISBN: 3319520458
Category : Mathematics
Languages : en
Pages : 323

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Book Description
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.

Author: Roy Frieden
Publisher: Springer Science & Business Media
ISBN: 3642566995
Category : Science
Languages : en
Pages : 496

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Book Description
Scientists and engineers in optics are increasingly confronted with problems that are of a random nature and that require a working knowledge of probability and statistics for their solution. This book develops these subjects within the context of optics, using a problem-solving approach. All methods are explicitly derived and can be traced back to three simple axioms given at the outset. This third edition contains many new applications to optical and physical phenomena, including a method of exactly estimating probability laws.