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From Intervals to –?
Vladik Kreinovich, Graçaliz Pereira Dimuro, Antônio Carlos da Rocha Costa (Broschiert, Englisch)
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Beschreibung
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 describe the physical space-time, etc. To describe and process uncertainty in all such cases, this book proposes a general methodology—a methodology that includes intervals as a particular case. The book is recommended to students and researchers interested in challenging aspects of uncertainty analysis and to practitioners who need to handle uncertainty in such unusual situations. 160,49 €
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Technische Daten
Erscheinungsdatum
30.11.2023
Sprache
Englisch
EAN
9783031205712
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Studies in Computational Intelligence
Sonderedition
Nein
Autor
Vladik Kreinovich, Graçaliz Pereira Dimuro, Antônio Carlos da Rocha Costa
Seitenanzahl
116
Einbandart
Broschiert
Buch Untertitel
Towards a General Description of Validated Uncertainty
Schlagwörter
Computational Intelligence, Uncertainty, Validated Uncertainty, Measuring Devices, Intervals, Interval Computations
Thema-Inhalt
UYQ - Künstliche Intelligenz
UN - Datenbanken
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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