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  3. Formalized Mathematics
  4. Formalized Mathematics, 2005, Volume 13, Issue 1

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    • Proszę używać tego identyfikatora do cytowań lub wstaw link do tej pozycji: http://hdl.handle.net/11320/21391
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    Pole DCWartośćJęzyk
    dc.contributor.authorShidama, Yasunari-
    dc.contributor.authorEndou, Noboru-
    dc.date.accessioned2026-10-30T11:43:23Z-
    dc.date.available2026-10-30T11:43:23Z-
    dc.date.issued2005-
    dc.identifier.citationFormalized Mathematics, Volume 13, Issue 1, Pages 67-71pl
    dc.identifier.issn1426-2630-
    dc.identifier.urihttp://hdl.handle.net/11320/21391-
    dc.description.abstractIn this article, the authors introduce Lebesgue integral of simple valued function.pl
    dc.language.isoenpl
    dc.publisherUniversity of Białystokpl
    dc.rightsAttribution-ShareAlike 4.0 International-
    dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
    dc.titleLebesgue Integral of Simple Valued Functionpl
    dc.typeArticlepl
    dc.rights.holder© 2005 University of Białystokpl
    dc.rights.holderThis work is licensed under the Creative Commons License.pl
    dc.description.AffiliationYasunari Shidama - Shinshu University, Naganopl
    dc.description.AffiliationNoboru Endou - Gifu National College of Technologypl
    dc.description.referencesGrzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990.pl
    dc.description.referencesGrzegorz Bancerek. Countable sets and Hessenberg’s theorem. Formalized Mathematics, 2(1):65–69, 1991.pl
    dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.pl
    dc.description.referencesJózef Białas. Infimum and supremum of the set of real numbers. Measure theory. Formalized Mathematics, 2(1):163–171, 1991.pl
    dc.description.referencesJózef Białas. Series of positive real numbers. Measure theory. Formalized Mathematics, 2(1):173–183, 1991.pl
    dc.description.referencesJózef Białas. The σ-additive measure theory. Formalized Mathematics, 2(2):263–270, 1991.pl
    dc.description.referencesCzesław Byliński. Basic functions and operations on functions. Formalized Mathematics, 1(1):245–254, 1990.pl
    dc.description.referencesCzesław Byliński. Binary operations applied to finite sequences. Formalized Mathematics, 1(4):643–649, 1990.pl
    dc.description.referencesCzesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529–536, 1990.pl
    dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.pl
    dc.description.referencesCzesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990.pl
    dc.description.referencesCzesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47–53, 1990.pl
    dc.description.referencesCzesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661–668, 1990.pl
    dc.description.referencesAgata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990.pl
    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. Definitions 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.referencesGrigory E. Ivanov. Definition of convex function and Jensen’s inequality. Formalized Mathematics, 11(4):349–354, 2003.pl
    dc.description.referencesJarosław Kotowicz. Real sequences and basic operations on them. Formalized Mathematics, 1(2):269–272, 1990.pl
    dc.description.referencesAndrzej Nędzusiak. Probability. Formalized Mathematics, 1(4):745–749, 1990.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, 1990pl
    dc.description.referencesAndrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990.pl
    dc.description.referencesWojciech A. Trybulec. Binary operations on finite sequences. Formalized Mathematics, 1(5):979–981, 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.identifier.eissn1898-9934-
    dc.description.volume13pl
    dc.description.issue1pl
    dc.description.firstpage67pl
    dc.description.lastpage71pl
    dc.identifier.citation2Formalized Mathematicspl
    Występuje w kolekcji(ach):Formalized Mathematics, 2005, Volume 13, Issue 1

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