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http://hdl.handle.net/11320/17773Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Endou, Noboru | - |
| dc.contributor.author | Shidama, Yasunari | - |
| dc.date.accessioned | 2025-01-03T09:25:51Z | - |
| dc.date.available | 2025-01-03T09:25:51Z | - |
| dc.date.issued | 2024 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 32, Issue 1, Pages 149–163 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/17773 | - |
| dc.description.abstract | This paper deals with the interconversion between Cartesian product types and tuple types and their integration for measures in higher dimensional spaces. We prove the universality between both types and construct a measure (and also underlying integral) based on the set of tuple types. | 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 | product measure | pl |
| dc.subject | Lebesgue integration | pl |
| dc.title | Universality of Measure Space | 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-2024-0012 | - |
| 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 | Noboru Endou. Fubini’s theorem on measure. Formalized Mathematics, 25(1):1–29, 2017. doi:10.1515/forma-2017-0001. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Multidimensional measure space and integration. Formalized Mathematics, 31(1):181–192, 2023. doi:10.2478/forma-2023-0017. | pl |
| dc.description.references | Noboru Endou and Yasunari Shidama. Integral of continuous functions of two variables. Formalized Mathematics, 31(1):309–324, 2023. doi:10.2478/forma-2023-0025. | pl |
| dc.description.references | Johannes H¨olzl and Armin Heller. Three chapters of measure theory in Isabelle/HOL. In Marko C. J. D. van Eekelen, Herman Geuvers, Julien Schmaltz, and Freek Wiedijk, editors, Interactive Theorem Proving (ITP 2011), volume 6898 of LNCS, pages 135–151, 2011. | pl |
| dc.description.references | Tom Leinster. Basic Category Theory. Cambridge University Press, 2014. | pl |
| dc.description.references | Beata Perkowska. Functional sequence from a domain to a domain. Formalized Mathematics, 3(1):17–21, 1992 | pl |
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| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 32 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 149 | pl |
| dc.description.lastpage | 163 | 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 | |
|---|---|---|---|---|
| Universality-of-Measure-Space.pdf | 299,84 kB | Adobe PDF | Otwórz |
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