000 | 04826nam a22005895i 4500 | ||
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001 | 978-3-031-20569-9 | ||
003 | DE-He213 | ||
005 | 20240207153503.0 | ||
007 | cr nn 008mamaa | ||
008 | 221128s2023 sz | s |||| 0|eng d | ||
020 |
_a9783031205699 _9978-3-031-20569-9 |
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_aUYQ _2thema |
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_a006.3 _223 |
100 | 1 |
_aKreinovich, Vladik. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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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. |
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300 |
_aXIII, 116 p. 26 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aStudies in Computational Intelligence, _x1860-9503 ; _v1041 |
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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 |
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650 | 0 | _aComputational intelligence. | |
650 | 0 | _aArtificial intelligence. | |
650 | 0 |
_aEngineering _xData processing. |
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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 |
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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 |
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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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