书目名称 | From Intervals to –? | 副标题 | Towards a General De | 编辑 | Vladik Kreinovich,Graçaliz Pereira Dimuro,Antônio | 视频video | | 概述 | Describes a class of problems for which interval computations are not sufficient.Designs a physically reasonable extension of interval computations.Presents a general description of measuring devices | 丛书名称 | Studies in Computational Intelligence | 图书封面 |  | 描述 | .This book is about methodological aspects of uncertainty propagation in data processing. Uncertainty propagation is an important problem: while computer algorithms efficiently process data related to many aspects of their lives, most of these algorithms implicitly assume that the numbers they process are exact. In reality, these numbers come from measurements, and measurements are never 100% exact. Because of this, it makes no sense to translate 61 kg into pounds and get the result—as computers do—with 13 digit accuracy...In many cases—e.g., in celestial mechanics—the state of a system can be described by a few numbers: the values of the corresponding physical quantities. In such cases, for each of these quantities, we know (at least) the upper bound on the measurement error. This bound is either provided by the manufacturer of the measuring instrument—or is estimated by the user who calibrates this instrument. However, in many other cases, the description of the system is more complex than a few numbers: we need a function to describe a physical field (e.g., electromagnetic field); we need a vector in Hilbert space to describe a quantum state; we need a pseudo-Riemannian space to | 出版日期 | Book 2023 | 关键词 | Computational Intelligence; Uncertainty; Validated Uncertainty; Measuring Devices; Intervals; Interval Co | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-20569-9 | isbn_softcover | 978-3-031-20571-2 | isbn_ebook | 978-3-031-20569-9Series ISSN 1860-949X Series E-ISSN 1860-9503 | issn_series | 1860-949X | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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