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  3. Formalized Mathematics
  4. Formalized Mathematics, 2006, Volume 14, Issue 2

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/21371
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    Pole DCWartośćJęzyk
    dc.contributor.authorEndou, Noboru-
    dc.contributor.authorShidama, Yasunari-
    dc.date.accessioned2026-10-29T12:04:32Z-
    dc.date.available2026-10-29T12:04:32Z-
    dc.date.issued2006-
    dc.identifier.citationFormalized Mathematics, Volume 14, Issue 2, Pages 53-70pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/21371-
    dc.description.abstractIn this paper we construct integral of measurable function.pl
    dc.description.sponsorshipThis work has been partially supported by the MEXT grant Grant-in-Aid for Young Scientists (B)16700156.pl
    dc.language.isoenpl
    dc.publisherUniversity of Białystokpl
    dc.rightsAttribution-ShareAlike 4.0 International (CC BY-SA 4.0)-
    dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
    dc.titleIntegral of Measurable Functionpl
    dc.typeArticlepl
    dc.rights.holder© 2008 Noboru Endou, Yasunari Shidama, published by University of Białystokpl
    dc.rights.holderThis work is licensed under the Creative Commons License.pl
    dc.identifier.doi10.2478/v10037-006-0008-x-
    dc.description.AffiliationNoboru Endou - Gifu National College of Technology, Gifu, Japanpl
    dc.description.AffiliationYasunari Shidama - Shinshu University, Nagano, Japanpl
    dc.description.referencesGrzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990.pl
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    dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Basic properties of extended real numbers. Formalized Mathematics, 9(3):491-494, 2001.pl
    dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. De nitions and basic properties of measurable functions. Formalized Mathematics, 9(3):495-500, 2001.pl
    dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. The measurability of extended real valued functions. Formalized Mathematics, 9(3):525-529, 2001.pl
    dc.description.referencesNoboru Endou, Katsumi Wasaki, and Yasunari Shidama. Some properties of extended real numbers operations: abs, min and max. Formalized Mathematics, 9(3):511-516, 2001.pl
    dc.description.referencesKrzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990.pl
    dc.description.referencesGrigory E. Ivanov. Definition of convex function and Jensen's inequality. Formalized Mathematics, 11(4):349-354, 2003.pl
    dc.description.referencesAndrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5):841-845, 1990.pl
    dc.description.referencesJarosław Kotowicz and Yuji Sakai. Properties of partial functions from a domain to the set of real numbers. Formalized Mathematics, 3(2):279-288, 1992.pl
    dc.description.referencesRafał Kwiatek. Factorial and Newton coefficients. Formalized Mathematics, 1(5):887-890, 1990.pl
    dc.description.referencesAndrzej Nędzusiak. Probability. Formalized Mathematics, 1(4):745-749, 1990.pl
    dc.description.referencesAndrzej Nędzusiak. σ- elds and probability. Formalized Mathematics, 1(2):401-407, 1990.pl
    dc.description.referencesBeata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17-21, 1992.pl
    dc.description.referencesYasunari Shidama and Noboru Endou. Lebesgue integral of simple valued function. Formalized Mathematics, 13(1):67-71, 2005.pl
    dc.description.referencesAndrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics.pl
    dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.pl
    dc.description.referencesAndrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990.pl
    dc.description.referencesAndrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003.pl
    dc.description.referencesMichał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990.pl
    dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.pl
    dc.description.referencesEdmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.pl
    dc.description.referencesEdmund Woronowicz. Relations defi ned on sets. Formalized Mathematics, 1(1):181-186, 1990.pl
    dc.identifier.eissn1898-9934-
    dc.description.volume14pl
    dc.description.issue2pl
    dc.description.firstpage53pl
    dc.description.lastpage70pl
    dc.identifier.citation2Formalized Mathematicspl
    Występuje w kolekcji(ach):Formalized Mathematics, 2006, Volume 14, Issue 2

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