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Representations Of Discrete Functions

Author: Tsutomu Sasao
Publisher: Springer Science & Business Media
ISBN: 1461313856
Size: 76.95 MB
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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.

Unitary Representations And Harmonic Analysis

Author: M. Sugiura
Publisher: Elsevier
ISBN: 9780080887593
Size: 79.29 MB
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The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.

Automorphic Representations And L Functions For The General Linear Group

Author: Dorian Goldfeld
Publisher: Cambridge University Press
ISBN: 1139503081
Size: 55.23 MB
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This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a minimum and repeated when reintroduced so that the book is accessible from any entry point, and with no prior knowledge of representation theory. The book includes concrete examples of global and local representations of GL(n), and presents their associated L-functions. In Volume 1, the theory is developed from first principles for GL(1), then carefully extended to GL(2) with complete detailed proofs of key theorems. Several proofs are presented for the first time, including Jacquet's simple and elegant proof of the tensor product theorem. In Volume 2, the higher rank situation of GL(n) is given a detailed treatment. Containing numerous exercises by Xander Faber, this book will motivate students and researchers to begin working in this fertile field of research.

Computer Aided Verification

Author: David L. Dill
Publisher: Springer Verlag
ISBN:
Size: 68.20 MB
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"This volume contains the proceedings of the 6th Conference on Computer Aided Verification, held at Stanford University in June 1994. The in total 37 included papers were selected in a highly competetive reviewing process from 121 submissions; in total they document many of the most important advances achieved in CAV research and applications since the predecessor conference held in June 1993. The volume is organized in sections on Real-Time Systems, CAV Theory, CAV Applications, Symbolic Verification, Hybrid Systems, Model Checking, Improving Efficiency, and Hardware Verification."--PUBLISHER'S WEBSITE.

Discrete Representation Of Spatial Objects In Computer Vision

Author: L.J. Latecki
Publisher: Springer Science & Business Media
ISBN: 9401590028
Size: 77.22 MB
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One of the most natural representations for modelling spatial objects in computers is discrete representations in the form of a 2D square raster and a 3D cubic grid, since these are naturally obtained by segmenting sensor images. However, the main difficulty is that discrete representations are only approximations of the original objects, and can only be as accurate as the cell size allows. If digitisation is done by real sensor devices, then there is the additional difficulty of sensor distortion. To overcome this, digital shape features must be used that abstract from the inaccuracies of digital representation. In order to ensure the correspondence of continuous and digital features, it is necessary to relate shape features of the underlying continuous objects and to determine the necessary resolution of the digital representation. This volume gives an overview and a classification of the actual approaches to describe the relation between continuous and discrete shape features that are based on digital geometric concepts of discrete structures. Audience: This book will be of interest to researchers and graduate students whose work involves computer vision, image processing, knowledge representation or representation of spatial objects.

Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups

Author: Armand Borel
Publisher: American Mathematical Soc.
ISBN: 147041225X
Size: 65.93 MB
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It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.

Discrete Harmonic Analysis

Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1107182336
Size: 51.27 MB
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A self-contained introduction to discrete harmonic analysis with an emphasis on the Discrete and Fast Fourier Transforms.

Branching Programs And Binary Decision Diagrams

Author: Ingo Wegener
Publisher: SIAM
ISBN: 0898714583
Size: 70.15 MB
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This book describes representations of Boolean functions that have small size for many important functions and which allow efficient work with the represented functions. Efficient algorithms for operations on these representations are presented, and the limits of those techniques are considered.

Representation Of Multiple Valued Logic Functions

Author: Radomir S. Stanković
Publisher: Morgan & Claypool Publishers
ISBN: 1608459438
Size: 69.48 MB
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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.