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dc.contributor.authorEndou, Noboru-
dc.contributor.authorShidama, Yasunari-
dc.date.accessioned2024-12-10T07:32:23Z-
dc.date.available2024-12-10T07:32:23Z-
dc.date.issued2024-
dc.identifier.citationFormalized Mathematics, Volume 32, Issue 1, Pages 9-31pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/17709-
dc.description.abstractIn this article we continue our proofs on integrals of continuous functions of three variables in Mizar. In fact, we use similar techniques as in the case of two variables: we deal with projections of continuous function, the continuity of three variable functions in general, aiming at pure real-valued functions (not necessarily extended real-valued functions), concluding with integrability and iterated integrals of continuous functions of three variables.pl
dc.language.isoenpl
dc.publisherDeGruyter Openpl
dc.rightsAttribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)pl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/3.0/pl
dc.subjecttriple integralpl
dc.subjectiterated integralpl
dc.titleIntegral of Continuous Three Variable Functionspl
dc.typeArticlepl
dc.rights.holder© 2024 The Author(s)pl
dc.rights.holderCC BY-SA 3.0 licensepl
dc.identifier.doi10.2478/forma-2024-0002-
dc.description.AffiliationNoboru Endou - National Institute of Technology, Gifu College 2236-2 Kamimakuwa, Motosu, Gifu, Japanpl
dc.description.AffiliationYasunari Shidama - Karuizawa Hotch 244-1 Nagano, Japanpl
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dc.description.referencesSerge Lang. Calculus of Several Variables. Springer, third edition, 2012.pl
dc.description.referencesKeiko Narita, Noboru Endou, and Yasunari Shidama. Weak convergence and weak* convergence. Formalized Mathematics, 23(3):231–241, 2015. doi:10.1515/forma-2015-0019.pl
dc.description.referencesHiroyuki Okazaki and Kazuhisa Nakasho. The 3-fold product space of real normed spaces and its properties. Formalized Mathematics, 29(4):241–248, 2021. doi:10.2478/forma2021-0022.pl
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dc.description.referencesEdward Staples Smith, Salkover Meyer, and Howard K. Justice. Calculus. John Wiley and Sons, second edition, 1958.pl
dc.identifier.eissn1898-9934-
dc.description.volume32pl
dc.description.issue1pl
dc.description.firstpage9pl
dc.description.lastpage31pl
dc.identifier.citation2Formalized Mathematicspl
dc.identifier.orcid0000-0002-5922-2332-
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