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Author: Jacques Sakarovitch
Publisher: Cambridge University Press
ISBN: 1139643797
Category : Mathematics
Languages : en
Pages : 818
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Book Description
Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
Author: Jacques Sakarovitch
Publisher: Cambridge University Press
ISBN: 1139643797
Category : Mathematics
Languages : en
Pages : 818
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Book Description
Automata theory lies at the foundation of computer science, and is vital to a theoretical understanding of how computers work and what constitutes formal methods. This treatise gives a rigorous account of the topic and illuminates its real meaning by looking at the subject in a variety of ways. The first part of the book is organised around notions of rationality and recognisability. The second part deals with relations between words realised by finite automata, which not only exemplifies the automata theory but also illustrates the variety of its methods and its fields of application. Many exercises are included, ranging from those that test the reader, to those that are technical results, to those that extend ideas presented in the text. Solutions or answers to many of these are included in the book.
Author: Noordin Jella
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659164804
Category :
Languages : de
Pages : 252
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Book Description
Vectors and matrices are arrays of numbers. The algebra for symbolic operations on them is different from the algebra for operations on scalars, or single numbers. For example there is no division in matrix algebra, although there is an operation called "multiplying by an inverse." It is possible to express the exact equivalent of matrix algebra equations in terms of scalar algebra expressions, but the results look rather messy. It can be said that the matrix algebra notation is shorthand for the corresponding scalar longhand. This sum of products is computed for every combination of rows and columns. This Book has practically analyzed different matrix equations such as Determinant and its Properties; Non - Singular Matrix; Inverse Matrix; Rang Matrix; System and Solutions of Linear Equation; The Theory of Kroneker - Carpelly; Solving any System of Linear Equation; Solving Non - Singular Matrix Linear System; Formula Kramer; Gauss - Jordan Elimination; Solving Homogeneous System Equation; and Elements of Matrix Algebra. This book is special for higher learning institutions worldwide.
Author:
Publisher: Cambridge University Press
ISBN:
Category :
Languages : en
Pages : 782
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Author: M. J. Ville
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Author:
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Category : Physics
Languages : en
Pages : 1160
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Author: International Federation of Automatic Control
Publisher:
ISBN:
Category : Automation
Languages : en
Pages : 752
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 894
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Book Description
Author: Lakshminarayan Hazra
Publisher: CRC Press
ISBN: 1498744958
Category : Science
Languages : en
Pages : 775
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Book Description
Since the incorporation of scientific approach in tackling problems of optical instrumentation, analysis and design of optical systems constitute a core area of optical engineering. A large number of software with varying level of scope and applicability is currently available to facilitate the task. However, possession of an optical design software, per se, is no guarantee for arriving at correct or optimal solutions. The validity and/or optimality of the solutions depend to a large extent on proper formulation of the problem, which calls for correct application of principles and theories of optical engineering. On a different note, development of proper experimental setups for investigations in the burgeoning field of optics and photonics calls for a good understanding of these principles and theories. With this backdrop in view, this book presents a holistic treatment of topics like paraxial analysis, aberration theory, Hamiltonian optics, ray-optical and wave-optical theories of image formation, Fourier optics, structural design, lens design optimization, global optimization etc. Proper stress is given on exposition of the foundations. The proposed book is designed to provide adequate material for ‘self-learning’ the subject. For practitioners in related fields, this book is a handy reference. Foundations of Optical System Analysis and Synthesis provides A holistic approach to lens system analysis and design with stress on foundations Basic knowledge of ray and wave optics for tackling problems of instrumental optics Proper explanation of approximations made at different stages Sufficient illustrations for facilitation of understanding Techniques for reducing the role of heuristics and empiricism in optical/lens design A sourcebook on chronological development of related topics across the globe This book is composed as a reference book for graduate students, researchers, faculty, scientists and technologists in R & D centres and industry, in pursuance of their understanding of related topics and concepts during problem solving in the broad areas of optical, electro-optical and photonic system analysis and design.
Author: International Federation of Automatic Control
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 748
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Author:
Publisher:
ISBN:
Category : Canada
Languages : en
Pages : 1686
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