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http://hdl.handle.net/11320/14268Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Korniłowicz, Artur | - |
| dc.date.accessioned | 2022-12-30T12:04:04Z | - |
| dc.date.available | 2022-12-30T12:04:04Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 30, Issue 2, Pages 135-158 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/14268 | - |
| dc.description.abstract | In this paper problems 11, 16, 19–24, 39, 44, 46, 74, 75, 77, 82, and 176 from [10] are formalized as described in [6], using the Mizar formalism [1], [2], [4]. Problems 11 and 16 from the book are formulated as several independent theorems. Problem 46 is formulated with a given example of required properties. Problem 77 is not formulated using triangles as in the book is. | 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 | number theory | pl |
| dc.subject | divisibility | pl |
| dc.subject | primes | pl |
| dc.title | Elementary Number Theory Problems. Part III | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2022 The Author(s) | pl |
| dc.rights.holder | CC BY-SA 3.0 license | pl |
| dc.identifier.doi | 10.2478/forma-2022-0011 | - |
| dc.description.Affiliation | Institute of Computer Science, University of Białystok, Poland | 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:10.1007/978-3-319-20615-8_17. | 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 | Adam Grabowski. Polygonal numbers. Formalized Mathematics, 21(2):103–113, 2013. doi:10.2478/forma-2013-0012. | pl |
| dc.description.references | Artur Korniłowicz. Flexary connectives in Mizar. Computer Languages, Systems & Structures, 44:238–250, December 2015. doi:10.1016/j.cl.2015.07.002. | pl |
| dc.description.references | Artur Korniłowicz and Dariusz Surowik. Elementary number theory problems. Part II. Formalized Mathematics, 29(1):63–68, 2021. doi:10.2478/forma-2021-0006. | pl |
| dc.description.references | Adam Naumowicz. Dataset description: Formalization of elementary number theory in Mizar. In Christoph Benzmüller and Bruce R. Miller, editors, Intelligent Computer Mathematics – 13th International Conference, CICM 2020, Bertinoro, Italy, July 26–31, 2020, Proceedings, volume 12236 of Lecture Notes in Computer Science, pages 303–308. Springer, 2020. doi:10.1007/978-3-030-53518-6_22. | pl |
| dc.description.references | Marco Riccardi. Solution of cubic and quartic equations. Formalized Mathematics, 17(2): 117–122, 2009. doi:10.2478/v10037-009-0012-z. | pl |
| dc.description.references | Christoph Schwarzweller. Modular integer arithmetic. Formalized Mathematics, 16(3): 247–252, 2008. doi:10.2478/v10037-008-0029-8. | pl |
| dc.description.references | Christoph Schwarzweller. Proth numbers. Formalized Mathematics, 22(2):111–118, 2014. doi:10.2478/forma-2014-0013. | pl |
| dc.description.references | Wacław Sierpiński. 250 Problems in Elementary Number Theory. Elsevier, 1970. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 30 | pl |
| dc.description.issue | 2 | pl |
| dc.description.firstpage | 135 | pl |
| dc.description.lastpage | 158 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| dc.identifier.orcid | 0000-0002-4565-9082 | - |
| Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2022, Volume 30, Issue 2 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| 10.2478_forma-2022-0011.pdf | 279,54 kB | Adobe PDF | Otwórz |
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