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Representations Of Multiple Valued

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Representations Of Multiple Valued Logic Functions

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Author : Radomir S. Stankovic
language : en
Publisher: Springer Nature
Release Date : 2022-06-01

Representations Of Multiple Valued Logic Functions written by Radomir S. Stankovic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Technology & Engineering categories.

Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms

Multiple Valued Logic

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Author : D. Michael Miller
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2008

Multiple Valued Logic written by D. Michael Miller and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.

Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram.

Neutrosophic Information In The Framework Of Multivalued Representation

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Author : Vasile Patrascu
language : en
Publisher: Infinite Study
Release Date :

Neutrosophic Information In The Framework Of Multivalued Representation written by Vasile Patrascu and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

The paper presents some steps for multi-valued representation of neutrosophic information. These steps are provided in the framework of multivalued logics using the following logical value: true, false, neutral, unknown and saturated. Also, this approach provides some calculus formulae for the following neutrosophic features: truth, falsity, neutrality, ignorance, underdefinedness, over-definedness, saturation and entropy. In addition, it was defined net truth, definedness and neutrosophic score.

Multiple Valued Logic

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Author : D. Michael Miller
language : en
Publisher: Springer Nature
Release Date : 2022-05-31

Multiple Valued Logic written by D. Michael Miller and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.

Group Theory And Its Application To Physical Problems

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Author : Morton Hamermesh
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26

Group Theory And Its Application To Physical Problems written by Morton Hamermesh and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Science categories.

One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.

Representations Of Discrete Functions

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Author : Tsutomu Sasao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Representations Of Discrete Functions written by Tsutomu Sasao 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 Technology & Engineering categories.

Representations of Discrete Functions is an edited volume containing 13 chapter contributions from leading researchers with a focus on the latest research results. The first three chapters are introductions and contain many illustrations to clarify concepts presented in the text. It is recommended that these chapters are read first. The book then deals with the following topics: binary decision diagrams (BDDs), multi-terminal binary decision diagrams (MTBDDs), edge-valued binary decision diagrams (EVBDDs), functional decision diagrams (FDDs), Kronecker decision diagrams (KDDs), binary moment diagrams (BMDs), spectral transform decision diagrams (STDDs), ternary decision diagrams (TDDs), spectral transformation of logic functions, other transformations oflogic functions, EXOR-based two-level expressions, FPRM minimization with TDDs and MTBDDs, complexity theories on FDDs, multi-level logic synthesis, and complexity of three-level logic networks. Representations of Discrete Functions is designed for CAD researchers and engineers and will also be of interest to computer scientists who are interested in combinatorial problems. Exercises prepared by the editors help make this book useful as a graduate level textbook.

Group Theory In Physics An Introduction To Symmetry Principles Group Representations And Special Functions In Classical And Quantum Physics

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Author : Wu-ki Tung
language : en
Publisher: World Scientific Publishing Company
Release Date : 1985-08-31

Group Theory In Physics An Introduction To Symmetry Principles Group Representations And Special Functions In Classical And Quantum Physics written by Wu-ki Tung and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08-31 with Representations of groups categories.

An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems.Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry.Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained.A set of problems and solutions has been published in a separate booklet.

Reversible Logic Synthesis

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Author : Anas N. Al-Rabadi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Reversible Logic Synthesis written by Anas N. Al-Rabadi 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 Technology & Engineering categories.

For the first time in book form, this comprehensive and systematic monograph presents the methods for the reversible synthesis of logic functions and circuits. This methodology offers designers the capability to solve major problems in system design now and in the future, such as the high rate of power consumption, and the emergence of quantum effects for highly dense ICs. The challenge addressed here is to design reliable systems that consume as little power as possible and in which the signals are processed and transmitted at very high speeds with very high signal integrity. Researchers in academia or industry and graduate students, who work in logic synthesis, computer design, computer-aided design tools, and low power VLSI circuit design, will find this book a valuable resource.

Compact Lie Groups And Their Representations

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Author : Dmitriĭ Petrovich Zhelobenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1973-01-01

Compact Lie Groups And Their Representations written by Dmitriĭ Petrovich Zhelobenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-01 with Mathematics categories.

Mathematics For Reliability Engineering

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Author : Mangey Ram
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-11-22

Mathematics For Reliability Engineering written by Mangey Ram and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Technology & Engineering categories.

Reliability is a fundamental criterium in engineering systems. This book shows innovative concepts and applications of mathematics in solving reliability problems. The contents address in particular the interaction between engineers and mathematicians, as well as the cross-fertilization in the advancement of science and technology. It bridges the gap between theory and practice to aid in practical problem-solving in various contexts.

Representations Of Multiple Valued

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