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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.

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Download or read book A Critical and Pronouncing Dictionary of the English Language written by Joseph Emerson Worcester and published by . This book was released on 1847 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Comprehensive Pronouncing and Explanatory Dictionary written by Joseph Emerson Worcester and published by . This book was released on 1850 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book A Universal and Critical Dictionary of the English Language written by Joseph Emerson Worcester and published by . This book was released on 1846 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Download or read book New Trends in Intuitive Geometry written by Gergely Ambrus and published by Springer. This book was released on 2018-11-03 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in this very active research field. The readers will find a variety of modern topics and many fascinating open problems that may serve as starting points for research.

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Download or read book Neuroimaging Biomarkers and Cognition in Alzheimer s disease Spectrum written by Jiu Chen and published by Frontiers Media SA. This book was released on 2024-01-11 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subjective cognitive decline (SCD) with self-reported concerns and mild cognitive impairment (MCI) are well-established to be at increased risk of developing Alzheimer’s disease (AD) dementia and a clinical continuum of dementia progression as a spectrum of AD. AD may develop from SCD to MCI (early MCI and late MCI) and eventually to AD. Nevertheless, until recently little was known about their pathophysiology associated with cognitive-behavioral syndrome. Although for researchers, scientists and clinicians, the pathophysiology of AD spectrum is an intriguing issue, delineating it in a clear way is far from easy. Taken together, in-depth understanding of neuroimaging-based pathology behind cognitive impairments across AD spectrum may help to develop new strategy for the early diagnosis and treatment of AD. Neuroimaging has been thought to potentially reveal the pathological mechanisms of AD progression. Individuals across AD spectrum are often associated with anatomical and functional brain alterations and cognitive impairment, most of the pathophysiology will focus primarily on the brain. To investigate brain structures and functions associated with cognition, neuroimaging will be the most appropriate tool.