Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
This book guides ophthalmologists through interpretation of Optical Coherence Tomography (OCT) images, which are cross-sectional images captured through non-invasive, non-contact imaging technology. Begins with analysis of the subdivides of each image into its smallest components, followed by a combination of these fine details to allow diagnosis and identification of appropriate treatment; features detailed schematic illustrations as well as actual scans, and offers information on technical and clinical uses of OCT in study of glaucoma and 3D images. Full of high-quality images, this is a must-have for all practicing and training ophthalmologists and optometrists.
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