Download or read book Formal Verification of Floating Point Hardware Design written by David M. Russinoff and published by Springer. This book was released on 2018-10-13 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to focus on the problem of ensuring the correctness of floating-point hardware designs through mathematical methods. Formal Verification of Floating-Point Hardware Design advances a verification methodology based on a unified theory of register-transfer logic and floating-point arithmetic that has been developed and applied to the formal verification of commercial floating-point units over the course of more than two decades, during which the author was employed by several major microprocessor design companies. The book consists of five parts, the first two of which present a rigorous exposition of the general theory based on the first principles of arithmetic. Part I covers bit vectors and the bit manipulation primitives, integer and fixed-point encodings, and bit-wise logical operations. Part II addresses the properties of floating-point numbers, the formats in which they are encoded as bit vectors, and the various modes of floating-point rounding. In Part III, the theory is extended to the analysis of several algorithms and optimization techniques that are commonly used in commercial implementations of elementary arithmetic operations. As a basis for the formal verification of such implementations, Part IV contains high-level specifications of correctness of the basic arithmetic instructions of several major industry-standard floating-point architectures, including all details pertaining to the handling of exceptional conditions. Part V illustrates the methodology, applying the preceding theory to the comprehensive verification of a state-of-the-art commercial floating-point unit. All of these results have been formalized in the logic of the ACL2 theorem prover and mechanically checked to ensure their correctness. They are presented here, however, in simple conventional mathematical notation. The book presupposes no familiarity with ACL2, logic design, or any mathematics beyond basic high school algebra. It will be of interest to verification engineers as well as arithmetic circuit designers who appreciate the value of a rigorous approach to their art, and is suitable as a graduate text in computer arithmetic.

Download or read book Formal Methods in Computer Aided Design written by Warren A. Jr. Hunt and published by Springer. This book was released on 2007-11-29 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual Formal Methods in Computer Aided Design conference (FMCAD 2000)is the third in a series of conferences under that title devoted to the use of discrete mathematical methods for the analysis of computer hardware and so- ware. The work reported in this book describes the use of modeling languages and their associated automated analysis tools to specify and verify computing systems. Functional veric ation has become one of the principal costs in a modern computer design e ort. In addition,verica tion of circuit models, timing,power, etc., requires even more eo rt. FMCAD provides a venue for academic and - dustrial researchers and practitioners to share their ideas and experiences of using discrete mathematical modeling and veric ation. It is noted with interest by the conference chairmen how this area has grown from just a few people 15 years ago to a vibrant area of research, development, and deployment. It is clear that these methods are helping reduce the cost of designing computing systems. As an example of this potential cost reduction, we have invited David Russino of Advanced Micro Devices, Inc. to describe his veric ation of ?oating-point - gorithms being used in AMD microprocessors. The program includes 30 regular presentations selected from 63 submitted papers.

Download or read book Extension Problems and Stable Ranks written by Raymond Mortini and published by Springer Nature. This book was released on 2021-08-02 with total page 2197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.

Download or read book Arithmetic and Geometry over Local Fields written by Bruno Anglès and published by Springer Nature. This book was released on 2021-03-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces some recent developments in Arithmetic Geometry over local fields. Its seven chapters are centered around two common themes: the study of Drinfeld modules and non-Archimedean analytic geometry. The notes grew out of lectures held during the research program "Arithmetic and geometry of local and global fields" which took place at the Vietnam Institute of Advanced Study in Mathematics (VIASM) from June to August 2018. The authors, leading experts in the field, have put great effort into making the text as self-contained as possible, introducing the basic tools of the subject. The numerous concrete examples and suggested research problems will enable graduate students and young researchers to quickly reach the frontiers of this fascinating branch of mathematics.

Download or read book Analysis and Design of Discrete Part Production Lines written by Chrissoleon T. Papadopoulos and published by Springer Science & Business Media. This book was released on 2009-05-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete overview of production systems and describes the best approaches to analyze their performance. Written by experts in the field, this work also presents numerous techniques that can be used to describe, model, and optimize the performance of various types of production lines. The book is intended for researchers, production managers, and graduate students in industrial, mechanical, and systems engineering.

Download or read book Precalculus Mathematics written by Kenneth B. Henderson and published by McGraw-Hill Companies. This book was released on 1971 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Algebra and Applications 2 written by Abdenacer Makhlouf and published by John Wiley & Sons. This book was released on 2021-12-07 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the second of three volumes specifically focusing on algebra and its applications. Algebra and Applications 2 centers on the increasing role played by combinatorial algebra and Hopf algebras, including an overview of the basic theories on non-associative algebras, operads and (combinatorial) Hopf algebras. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Alongside the focal topic of combinatorial algebra and Hopf algebras, non-associative algebraic structures in iterated integrals, chronological calculus, differential equations, numerical methods, control theory, non-commutative symmetric functions, Lie series, descent algebras, Butcher groups, chronological algebras, Magnus expansions and Rota–Baxter algebras are explored. Algebra and Applications 2 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

Download or read book Mining Revisited written by and published by . This book was released on 1999 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Modern Introduction to Mathematical Analysis written by Alessandro Fonda and published by Springer Nature. This book was released on 2023-03-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents all the basics for the first two years of a course in mathematical analysis, from the natural numbers to Stokes-Cartan Theorem. The main novelty which distinguishes this book is the choice of introducing the Kurzweil-Henstock integral from the very beginning. Although this approach requires a small additional effort by the student, it will be compensated by a substantial advantage in the development of the theory, and later on when learning about more advanced topics. The text guides the reader with clarity in the discovery of the many different subjects, providing all necessary tools – no preliminaries are needed. Both students and their instructors will benefit from this book and its novel approach, turning their course in mathematical analysis into a gratifying and successful experience.

Download or read book Physical and chemical processes within the planetary boundary layer and their impacts on air pollution written by Yucong Miao and published by Frontiers Media SA. This book was released on 2023-06-21 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Proceedings written by and published by . This book was released on 1994 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamical Systems written by Albert Fathi and published by Cambridge University Press. This book was released on 2006-02-02 with total page 597 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of up-to-date research and classic papers reflecting the work of Michael Herman.

Download or read book Petunia written by Tom Gerats and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Petunia belongs to the family of the Solanaceae and as such is closely related to important crop species like tomato, potato, eggplant, pepper and tobacco. With around 35 species described it is one of the smaller genera and among those there are two groups of species that make up the majority of them: the purple flowered P.integrifolia group and the white flowered P.axillaris group. It is assumed that interspecific hybrids between members of these two groups have laid the foundation for the huge variation in cultivars as selected from the 1830’s onwards. Petunia thus has been a commercially important ornamental since the early days of horticulture. Despite that, Petunia was in use as a research model only parsimoniously until the late fifties of the last century. By then seed companies started to fund academic research, initially with the main aim to develop new color varieties. Besides a moment of glory around 1980 (being elected a promising model system, just prior to the Arabidopsis boom), Petunia has long been a system in the shadow. Up to the early eighties no more then five groups developed classical and biochemical genetics, almost exclusively on flower color genes. Then from the early eighties onward, interest has slowly been growing and nowadays some 20-25 academic groups around the world are using Petunia as their main model system for a variety of research purposes, while a number of smaller and larger companies are developing further new varieties. At present the system is gaining credibility for a number of reasons, a very important one being that it is now generally realized that only comparative biology will reveal the real roots of evolutionary development of processes like pollination syndromes, floral development, scent emission, seed survival strategies and the like. As a system to work with, Petunia combines advantages from several other model species: it is easy to grow, sets abundant seeds, while self- and cross pollination is easy; its lifecycle is four months from seed to seed; plants can be grown very densely, in 1 cm2 plugs and can be rescued easily upon flowering, which makes even huge selection plots easy to handle. Its flowers (and indeed leaves) are relatively large and thus obtaining biochemical samples is no problem. Moreover, transformation and regeneration from leaf disc or protoplast are long established and easy-to-perform procedures. On top of this easiness in culture, Petunia harbors an endogenous, very active transposable element system, which is being used to great advantage in both forward and reverse genetics screens. The virtues of Petunia as a model system have only partly been highlighted. In a first monograph, edited by K. Sink and published in 1984, the emphasis was mainly on taxonomy, morphology, classical and biochemical genetics, cytogenetics, physiology and a number of topical subjects. At that time, little molecular data was available. Taking into account that that first monograph will be offered electronically as a supplement in this upcoming edition, we would like to put the overall emphasis for the second edition on molecular developments and on comparative issues. To this end we propose the underneath set up, where chapters will be brief and topical. Each chapter will present the historical setting of its subject, the comparison with other systems (if available) and the unique progress as made in Petunia. We expect that the second edition of the Petunia monograph will draw a broad readership both in academia and industry and hope that it will contribute to a further expansion in research on this wonderful Solanaceae.

Download or read book Report of Investigations written by and published by . This book was released on 1919 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2005 with total page 1512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Combinatorial Connectivities in Social Systems written by ATKIN and published by Interdisciplinary Systems Research. This book was released on 1977 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a presentation of my recent research work into the theory and applications of mathematical relations between finite sets. The consequent results and concepts are expressed in 'conjunction' with the idea of a union of simplicial complexes and the algorithms and overall methodology have become known as Q-Analysis. The mathematical ideas are essentially comhinatorial and are developed in Section-A of the book, whilst Section-R contains an application to a community study (that of the IJniversity of Rssex). All of the work has been published elsewhere, in the usual form of papers, and a comprehensive introduction to the whole approach will be found in my earlier book, Mathematical Structure in Human Affairs (Heinemann, London 1974). Much of the research work referred to in this present hook would not have been possible without the co-operation of my research team, of whom I would particularly like to thank J.II. Johnson, and its puhlication owes a lot to the secretarial help provided by ~Iary Low. R.H. Atkin IJniversity of Rssex U.K.

Download or read book A Combinatorial Study of the Module of Derivations of an Arrangement of Hyperplanes written by Keith Allan Brandt and published by . This book was released on 1992 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: