Foundations Of Information Theory
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Mathematical Foundations Of Information Theory
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Author : Aleksandr I?Akovlevich Khinchin
language : en
Publisher: Courier Corporation
Release Date : 1957-01-01
Mathematical Foundations Of Information Theory written by Aleksandr I?Akovlevich Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1957-01-01 with Mathematics categories.
First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Foundations Of Information Theory
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Author : Amiel Feinstein
language : en
Publisher:
Release Date : 1958
Foundations Of Information Theory written by Amiel Feinstein and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Communication categories.
Information Theory Tools For Visualization
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Author : Min Chen
language : en
Publisher: CRC Press
Release Date : 2016-09-19
Information Theory Tools For Visualization written by Min Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-19 with Computers categories.
This book explores Information theory (IT) tools, which have become state of the art to solve and understand better many of the problems in visualization. This book covers all relevant literature up to date. It is the first book solely devoted to this subject, written by leading experts in the field.
New Foundations For Information Theory
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Author : David Ellerman
language : en
Publisher:
Release Date : 2021
New Foundations For Information Theory written by David Ellerman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
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.
Complex Systems
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Author : E. Goles
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Complex Systems written by E. Goles and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume contains the courses given at the Sixth Summer School on Complex Systems held at Facultad de Ciencias Fisicas y Maternaticas, Universidad de Chile at Santiago, Chile, from 14th to 18th December 1998. This school was addressed to graduate students and researchers working on areas related with recent trends in Complex Systems, including dynamical systems, cellular automata, complexity and cutoff in Markov chains. Each contribution is devoted to one of these subjects. In some cases they are structured as surveys, presenting at the same time an original point of view and showing mostly new results. The paper of Pierre Arnoux investigates the relation between low complex systems and chaotic systems, showing that they can be put into relation by some re normalization operations. The case of quasi-crystals is fully studied, in particular the Sturmian quasi-crystals. The paper of Franco Bagnoli and Raul Rechtman establishes relations be tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization problem. The paper of Jacques Demongeot and colleagues gives a presentation of at tractors of dynamical systems appearing in biological situations. For instance, the relation between positive or negative loops and regulation systems.
Mathematical Foundations Of Information Theory
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Author : A. Ya. Khinchin
language : en
Publisher: Courier Corporation
Release Date : 2013-04-09
Mathematical Foundations Of Information Theory written by A. Ya. Khinchin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-09 with Mathematics categories.
First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.
Fundamentals Of Signal Processing In Metric Spaces With Lattice Properties
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Author : Andrey Popoff
language : en
Publisher: CRC Press
Release Date : 2017-11-03
Fundamentals Of Signal Processing In Metric Spaces With Lattice Properties written by Andrey Popoff and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Mathematics categories.
Exploring the interrelation between information theory and signal processing theory, the book contains a new algebraic approach to signal processing theory. Readers will learn this new approach to constructing the unified mathematical fundamentals of both information theory and signal processing theory in addition to new methods of evaluating quality indices of signal processing. The book discusses the methodology of synthesis and analysis of signal processing algorithms providing qualitative increase of signal processing efficiency under parametric and nonparametric prior uncertainty conditions. Examples are included throughout the book to further emphasize new material.
Foundations For Radio Frequency Engineering
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Author : Geyi Wen
language : en
Publisher: World Scientific
Release Date : 2015-03-13
Foundations For Radio Frequency Engineering written by Geyi Wen and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-13 with Technology & Engineering categories.
The book provides a comprehensive coverage of the fundamental topics in microwave engineering, antennas and wave propagation, and electromagnetic compatibility, including electromagnetic boundary value problems, waveguide theory, microwave resonators, antennas and wave propagation, microwave circuits, principles of electromagnetic compatibility designs, information theory and systems.Deals systematically with fundamental problems in radio frequency engineering, this important volume provides an updated treatment of radio frequency theory and techniques.The book can be used as a one-semester course for senior and first-year graduate students or as a reference for radio frequency engineers and applied physicists.
Software Engineer S Reference Book
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Author : John A McDermid
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Software Engineer S Reference Book written by John A McDermid and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Technology & Engineering categories.
Software Engineer's Reference Book provides the fundamental principles and general approaches, contemporary information, and applications for developing the software of computer systems. The book is comprised of three main parts, an epilogue, and a comprehensive index. The first part covers the theory of computer science and relevant mathematics. Topics under this section include logic, set theory, Turing machines, theory of computation, and computational complexity. Part II is a discussion of software development methods, techniques and technology primarily based around a conventional view of the software life cycle. Topics discussed include methods such as CORE, SSADM, and SREM, and formal methods including VDM and Z. Attention is also given to other technical activities in the life cycle including testing and prototyping. The final part describes the techniques and standards which are relevant in producing particular classes of application. The text will be of great use to software engineers, software project managers, and students of computer science.
A Journey Into Discrete Structures Embracing The Foundations Of Computer Science And Engineering
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-08-15
A Journey Into Discrete Structures Embracing The Foundations Of Computer Science And Engineering written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-15 with Mathematics categories.
Embark on an enlightening journey into the realm of discrete structures, where mathematics and computer science converge to create a symphony of logic and computation. This comprehensive guidebook unveils the fundamental concepts and applications of discrete structures, empowering you to understand the underlying principles that drive the digital world. Delve into the intricacies of set theory, exploring the nature of sets, their operations, and their captivating properties. Discover the power of mathematical logic and proofs as you unravel the complexities of propositional and predicate calculus, embarking on a quest for truth and validity. Delve into the realm of relations and functions, uncovering their diverse types and characteristics, and witness their applications in the realm of computer science. Unravel the mysteries of algorithms and computational complexity, delving into the depths of algorithm design paradigms and asymptotic analysis. Discover the efficiency of sorting and searching algorithms, and grapple with the profound implications of NP-completeness and intractable problems. Explore the fascinating world of number theory and cryptography, deciphering the enigmas of prime numbers and integer factorization, and unraveling the secrets of public-key encryption. Traverse the intricate landscapes of graph theory and automata theory, uncovering the hidden structures and patterns that govern networks and languages. Investigate the elegance of Boolean algebra and switching theory, mastering the art of logic gate simplification and delving into the realm of combinatorics and discrete probability. Discover the beauty of counting techniques and permutations, unravel the mysteries of combinations and binomial coefficients, and explore the applications of discrete mathematics in the realm of information theory and coding. With clear explanations, engaging examples, and insightful exercises, this book empowers you to grasp the essence of discrete structures and their profound impact on the fields of computer science and engineering. Prepare to be captivated by the elegance of mathematical concepts and the power of computational thinking as you embark on this transformative odyssey into the world of discrete structures. If you like this book, write a review!