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020 _a9783031205699
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100 1 _aKreinovich, Vladik.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFrom Intervals to -?
_h[electronic resource] :
_bTowards a General Description of Validated Uncertainty /
_cby Vladik Kreinovich, Graçaliz Pereira Dimuro, Antônio Carlos da Rocha Costa.
250 _a1st ed. 2023.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2023.
300 _aXIII, 116 p. 26 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Computational Intelligence,
_x1860-9503 ;
_v1041
500 _aAcceso multiusuario
505 0 _aMotivation and Outline -- A General Description of Measuring Devices: Plan -- A General Description of Measuring Devices: First Step - Finite Set of Possible Outcomes -- A General Description of Measuring Devices: Second Step - Pairs of Compatible Outcomes -- A General Description of Measuring Devices: Third Step - Subsets of Compatible Outcomes -- A General Description of Measuring Devices: Fourth Step - Conditional Statements about Possible Outcomes -- A General Description of Measuring Devices: Fifth Step - Disjunctive Conditional Statements about the Possible Outcomes -- A General Description of Measuring Devices: Summary -- Physical Quantities: A General Description -- Properties of Physical Quantities -- Future Work.
520 _aThis 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.
541 _fUABC ;
_cPerpetuidad
650 0 _aComputational intelligence.
650 0 _aArtificial intelligence.
650 0 _aEngineering
_xData processing.
650 1 4 _aComputational Intelligence.
650 2 4 _aArtificial Intelligence.
650 2 4 _aData Engineering.
700 1 _aDimuro, Graçaliz Pereira.
_eauthor.
_0(orcid)0000-0001-6986-9888
_1https://orcid.org/0000-0001-6986-9888
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _ada Rocha Costa, Antônio Carlos.
_eauthor.
_0(orcid)0000-0001-7954-8420
_1https://orcid.org/0000-0001-7954-8420
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031205682
776 0 8 _iPrinted edition:
_z9783031205705
776 0 8 _iPrinted edition:
_z9783031205712
830 0 _aStudies in Computational Intelligence,
_x1860-9503 ;
_v1041
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-20569-9
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