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020 _a9783319607801
_9978-3-319-60780-1
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aTEC009000
_2bisacsh
072 7 _aTBJ
_2thema
082 0 4 _a519
_223
100 1 _aGorban, Igor I.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aRandomness and Hyper-randomness
_h[electronic resource] /
_cby Igor I. Gorban.
250 _a1st ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXXXII, 216 p. 30 illus., 23 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Engineering,
_x2192-4732
500 _aAcceso multiusuario
505 0 _aPart I The Phenomenon of Statistical Stability -- The Physical Phenomenon of Statistical Stability -- Part II The Probability Theory -- Basis of the Probability Theory -- Stochastic Functions -- Fundamentals of the Mathematical Statistics of the Probability Theory -- Assessment of the Measurement Accuracy on the Basis of Probability Theory -- Part III Experimental Study of the Statistical Stability Phenomenon -- Methodology and Results from Investigation of the Statistical Stability of Processes -- Part IV The Theory of Hyper-Random Phenomena -- Basis of the Theory of Hyper-Random Phenomena -- Hyper-Random Functions -- Fundamentals of the Mathematical Statistics of Hyper-Random Phenomena -- Assessing Measurement Accuracy on the Basis of the Theory of Hyper-Random Phenomena -- Part V The Problem of Adequate Description of the World -- Determinism, Uncertainty, Randomness, And Hyperrandomness -- Epilogue -- References -- Index.
520 _aThe monograph compares two approaches that describe the statistical stability phenomenon - one proposed by the probability theory that ignores violations of statistical stability and another proposed by the theory of hyper-random phenomena that takes these violations into account. There are five parts. The first describes the phenomenon of statistical stability. The second outlines the mathematical foundations of probability theory. The third develops methods for detecting violations of statistical stability and presents the results of experimental research on actual processes of different physical nature that demonstrate the violations of statistical stability over broad observation intervals. The fourth part outlines the mathematical foundations of the theory of hyper-random phenomena. The fifth part discusses the problem of how to provide an adequate description of the world. The monograph should be interest to a wide readership: from university students on a first course majoring in physics, engineering, and mathematics to engineers, post-graduate students, and scientists carrying out research on the statistical laws of natural physical phenomena, developing and using statistical methods for high-precision measurement, prediction, and signal processing over broad observation intervals. To read the book, it is sufficient to be familiar with a standard first university course on mathematics.
541 _fUABC ;
_cTemporal ;
_d01/01/2021-12/31/2023.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 0 _aPhysical measurements.
650 0 _aMeasurement   .
650 0 _aStatistics .
650 0 _aProbabilities.
650 0 _aStatistical physics.
650 0 _aSignal processing.
650 0 _aImage processing.
650 0 _aSpeech processing systems.
650 1 4 _aMathematical and Computational Engineering.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T11006
650 2 4 _aMeasurement Science and Instrumentation.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P31040
650 2 4 _aStatistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.
_0https://scigraph.springernature.com/ontologies/product-market-codes/S17020
650 2 4 _aProbability Theory and Stochastic Processes.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M27004
650 2 4 _aStatistical Physics and Dynamical Systems.
_0https://scigraph.springernature.com/ontologies/product-market-codes/P19090
650 2 4 _aSignal, Image and Speech Processing.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T24051
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783319607795
776 0 8 _iPrinted edition:
_z9783319607818
776 0 8 _iPrinted edition:
_z9783319869315
830 0 _aMathematical Engineering,
_x2192-4732
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=https://doi.org/10.1007/978-3-319-60780-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cLIBRO_ELEC
999 _c244615
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