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http://hdl.handle.net/11320/17709
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Pole DC | Wartość | Język |
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dc.contributor.author | Endou, Noboru | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2024-12-10T07:32:23Z | - |
dc.date.available | 2024-12-10T07:32:23Z | - |
dc.date.issued | 2024 | - |
dc.identifier.citation | Formalized Mathematics, Volume 32, Issue 1, Pages 9-31 | pl |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.uri | http://hdl.handle.net/11320/17709 | - |
dc.description.abstract | In 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.iso | en | pl |
dc.publisher | DeGruyter Open | pl |
dc.rights | Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) | pl |
dc.rights.uri | https://creativecommons.org/licenses/by-sa/3.0/ | pl |
dc.subject | triple integral | pl |
dc.subject | iterated integral | pl |
dc.title | Integral of Continuous Three Variable Functions | pl |
dc.type | Article | pl |
dc.rights.holder | © 2024 The Author(s) | pl |
dc.rights.holder | CC BY-SA 3.0 license | pl |
dc.identifier.doi | 10.2478/forma-2024-0002 | - |
dc.description.Affiliation | Noboru Endou - National Institute of Technology, Gifu College 2236-2 Kamimakuwa, Motosu, Gifu, Japan | pl |
dc.description.Affiliation | Yasunari Shidama - Karuizawa Hotch 244-1 Nagano, Japan | pl |
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dc.description.references | Serge Lang. Calculus of Several Variables. Springer, third edition, 2012. | pl |
dc.description.references | Keiko 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 |
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dc.identifier.eissn | 1898-9934 | - |
dc.description.volume | 32 | pl |
dc.description.issue | 1 | pl |
dc.description.firstpage | 9 | pl |
dc.description.lastpage | 31 | pl |
dc.identifier.citation2 | Formalized Mathematics | pl |
dc.identifier.orcid | 0000-0002-5922-2332 | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2024, Volume 32, Issue 1 |
Pliki w tej pozycji:
Plik | Opis | Rozmiar | Format | |
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Integral-of-Continuous-Three-Variable-Functions.pdf | 312,18 kB | Adobe PDF | Otwórz |
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