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dc.contributor.authorZhang, Bo-
dc.contributor.authorYamazaki, Hiroshi-
dc.contributor.authorNakamura, Yatsuka-
dc.date.accessioned2026-11-05T12:47:55Z-
dc.date.available2026-11-05T12:47:55Z-
dc.date.issued2006-
dc.identifier.citationFormalized Mathematics, Volume 14, Issue 4, Pages 225-229pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21444-
dc.description.abstractIn this article, we first discuss the relation between measure defined using extended real numbers and probability defined using real numbers. Further, we define completeness of probability, and its completion method, and also show that they coincide with those of measure.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rightsCC BY-SA 4.0-
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleThe Relevance of Measure and Probability, and Definition of Completeness of Probabilitypl
dc.typeArticlepl
dc.rights.holder© 2008 Bo Zhang, Hiroshi Yamazaki, Yatsuka Nakamura, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons License.pl
dc.identifier.doi10.2478/v10037-006-0026-8-
dc.description.AffiliationBo Zhang - Shinshu University Nagano, Japanpl
dc.description.AffiliationHiroshi Yamazaki - Shinshu University Nagano, Japanpl
dc.description.AffiliationYatsuka Nakamura - Shinshu University Nagano, Japanpl
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dc.description.referencesJarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990.pl
dc.description.referencesAndrzej Nędzusiak. Probability. Formalized Mathematics, 1(4):745-749, 1990.pl
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dc.description.referencesAndrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.pl
dc.description.referencesAndrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.pl
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dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.pl
dc.description.referencesEdmund Woronowicz. Relations de fined on sets. Formalized Mathematics, 1(1):181-186, 1990.pl
dc.description.referencesBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Inferior limit and superior limit of sequences of real numbers. Formalized Mathematics, 13(3):375-381, 2005.pl
dc.description.referencesBo Zhang, Hiroshi Yamazaki, and Yatsuka Nakamura. Set sequences and monotone class. Formalized Mathematics, 13(4):435-441, 2005.pl
dc.identifier.eissn1898-9934-
dc.description.volume14pl
dc.description.issue4pl
dc.description.firstpage225pl
dc.description.lastpage229pl
dc.identifier.citation2Formalized Mathematicspl
Występuje w kolekcji(ach):Formalized Mathematics, 2006, Volume 14, Issue 4

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