W BIAŁYMSTOKU
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http://hdl.handle.net/11320/13660Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Endou, Noboru | - |
| dc.date.accessioned | 2022-07-22T10:40:40Z | - |
| dc.date.available | 2022-07-22T10:40:40Z | - |
| dc.date.issued | 2021 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 29, Issue 4, Pages 201-220 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/13660 | - |
| dc.description.abstract | In this article, we deal with Riemann’s improper integral [1], using the Mizar system [2], [3]. Improper integrals with finite values are discussed in [5] by Yamazaki et al., but in general, improper integrals do not assume that they are finite. Therefore, we have formalized general improper integrals that does not limit the integral value to a finite value. In addition, each theorem in [5] assumes that the domain of integrand includes a closed interval, but since the improper integral should be discusses based on the half-open interval, we also corrected it. | 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 | Improper integrals | pl |
| dc.title | Improper Integral. Part I | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2021 University of Białymstoku | pl |
| dc.rights.holder | CC-BY-SA License ver. 3.0 or later | pl |
| dc.identifier.doi | 10.2478/forma-2021-0019 | - |
| dc.description.Affiliation | National Institute of Technology, Gifu College, 2236-2 Kamimakuwa, Motosu, Gifu, Japan | pl |
| dc.description.references | Tom M. Apostol. Mathematical Analysis. Addison-Wesley, 1969. | pl |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, Karol Pąk, and Josef Urban. Mizar: State-of-the-art and beyond. In Manfred Kerber, Jacques Carette, Cezary Kaliszyk, Florian Rabe, and Volker Sorge, editors, Intelligent Computer Mathematics, volume 9150 of Lecture Notes in Computer Science, pages 261–279. Springer International Publishing, 2015. ISBN 978-3-319-20614-1. doi:10.1007/978-3-319-20615-817. | pl |
| dc.description.references | Grzegorz Bancerek, Czesław Byliński, Adam Grabowski, Artur Korniłowicz, Roman Matuszewski, Adam Naumowicz, and Karol Pąk. The role of the Mizar Mathematical Library for interactive proof development in Mizar. Journal of Automated Reasoning, 61(1):9–32, 2018. doi:10.1007/s10817-017-9440-6. | pl |
| dc.description.references | Noboru Endou, Yasunari Shidama, and Masahiko Yamazaki. Integrability and the integral of partial functions from R into R. Formalized Mathematics, 14(4):207–212, 2006. doi:10.2478/v10037-006-0023-y. | pl |
| dc.description.references | Masahiko Yamazaki, Hiroshi Yamazaki, and Yasunari Shidama. Extended Riemann integral of functions of real variable and one-sided Laplace transform. Formalized Mathematics, 16(4):311–317, 2008. doi:10.2478/v10037-008-0038-7. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 29 | pl |
| dc.description.issue | 4 | pl |
| dc.description.firstpage | 201 | pl |
| dc.description.lastpage | 220 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| dc.identifier.orcid | 0000-0002-5922-2332 | - |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2021, Volume 29, Issue 4 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| 10.2478_forma-2021-0019.pdf | 273,24 kB | Adobe PDF | Otwórz |
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