Mathematical Theory Of Switching Circuits And Automata
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Mathematical Theory Of Switching Circuits And Automata
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Author : Sze-Tsen Hu
language : en
Publisher: Univ of California Press
Release Date : 2023-11-15
Mathematical Theory Of Switching Circuits And Automata written by Sze-Tsen Hu and has been published by Univ of California Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-15 with Mathematics categories.
By applying Boolean algebra to the designing of circuits, C. E. Shannon practically created the switching theory which is necessary to the development of electronic computers. For the next three decades much research was done and most of the major problems of logical design were solved. Recent interest having focused on the purely theoretical aspects of computer and logical networks, Hu now believes that the time has come for a consolidation of the mathematical foundations of the subject. In the present book the author accordingly undertakes to establish a new branch of pure mathematics with a uniform notation and terminology by organizing the past research results into a form usable to both mathematicians and engineers, while simplifying theory by stripping it of complex "hardware" considerations as well as of all unnecessary advanced mathematics. A number of exercises have been provided at the end of each chapter. By applying Boolean algebra to the designing of circuits, C. E. Shannon practically created the switching theory which is necessary to the development of electronic computers. For the next three decades much research was done and most of the major problem
Mathematical Theory Of Switching Circuits And Automata
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Author :
language : en
Publisher:
Release Date : 1968
Mathematical Theory Of Switching Circuits And Automata written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Sequential machine theory categories.
From Boolean Logic To Switching Circuits And Automata
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Author : Radomir S. Stankovic
language : en
Publisher: Springer
Release Date : 2011-03-19
From Boolean Logic To Switching Circuits And Automata written by Radomir S. Stankovic and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-19 with Technology & Engineering categories.
Logic networks and automata are facets of digital systems. The change of the design of logic networks from skills and art into a scientific discipline was possible by the development of the underlying mathematical theory called the Switching Theory. The fundamentals of this theory come from the attempts towards an algebraic description of laws of thoughts presented in the works by George J. Boole and the works on logic by Augustus De Morgan. As often the case in engineering, when the importance of a problem and the need for solving it reach certain limits, the solutions are searched by many scholars in different parts of the word, simultaneously or at about the same time, however, quite independently and often unaware of the work by other scholars. The formulation and rise of Switching Theory is such an example. This book presents a brief account of the developments of Switching Theory and highlights some less known facts in the history of it. The readers will find the book a fresh look into the development of the field revealing how difficult it has been to arrive at many of the concepts that we now consider obvious . Researchers in the history or philosophy of computing will find this book a valuable source of information that complements the standard presentations of the topic.
Boolean Models And Methods In Mathematics Computer Science And Engineering
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Author : Yves Crama
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-28
Boolean Models And Methods In Mathematics Computer Science And Engineering written by Yves Crama and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-28 with Computers categories.
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.
Automata Theory And Its Applications
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Author : Bakhadyr Khoussainov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Automata Theory And Its Applications written by Bakhadyr Khoussainov 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.
The theory of finite automata on finite stings, infinite strings, and trees has had a dis tinguished history. First, automata were introduced to represent idealized switching circuits augmented by unit delays. This was the period of Shannon, McCullouch and Pitts, and Howard Aiken, ending about 1950. Then in the 1950s there was the work of Kleene on representable events, of Myhill and Nerode on finite coset congruence relations on strings, of Rabin and Scott on power set automata. In the 1960s, there was the work of Btichi on automata on infinite strings and the second order theory of one successor, then Rabin's 1968 result on automata on infinite trees and the second order theory of two successors. The latter was a mystery until the introduction of forgetful determinacy games by Gurevich and Harrington in 1982. Each of these developments has successful and prospective applications in computer science. They should all be part of every computer scientist's toolbox. Suppose that we take a computer scientist's point of view. One can think of finite automata as the mathematical representation of programs that run us ing fixed finite resources. Then Btichi's SIS can be thought of as a theory of programs which run forever (like operating systems or banking systems) and are deterministic. Finally, Rabin's S2S is a theory of programs which run forever and are nondeterministic. Indeed many questions of verification can be decided in the decidable theories of these automata.
Oar Quarterly Index Of Current Research Results
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Author : United States. Air Force. Office of Aerospace Research
language : en
Publisher:
Release Date : 1967
Oar Quarterly Index Of Current Research Results written by United States. Air Force. Office of Aerospace Research and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics, Military categories.
Oar Cumulative Index Of Research Results
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Author :
language : en
Publisher:
Release Date : 1967
Oar Cumulative Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Oar Index Of Research Results
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Author :
language : en
Publisher:
Release Date : 1967
Oar Index Of Research Results written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Encyclopedia Of Computer Science And Technology
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Author : Jack Belzer
language : en
Publisher: CRC Press
Release Date : 2020-02-03
Encyclopedia Of Computer Science And Technology written by Jack Belzer and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-03 with Computers categories.
"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."
Theoretical Immunology Part One
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Author : Alan S. Perelson
language : en
Publisher: CRC Press
Release Date : 2018-03-05
Theoretical Immunology Part One written by Alan S. Perelson and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-05 with Science categories.
Assuming that the complex phenomena underlying the operation of the immune system may be better understood through the collaborative efforts of theorists and experimentalists viewing the same phenomena in different ways, the Sante Fe Institute and the Theoretical Division of Los Alamos National Laboratory cosponsored a workshop entitled "Theoretical Immunology". The workshop focused on themes spanning the field of immunology, with emphasis on areas where the theorists have made the most progress. This book covers the discussions a that workshop on the topics of immune surveillance, mathematical models of HIV infection, complexities of antigen-antibody systems, immune suppression and tolerance, and idiotypie networks. In each of these areas there is reason to believe that advances can be made either through interactions among experimentalists and theorists or through the critical look experimentalists and theorists will bring to bear upon one another's work.