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http://hdl.handle.net/11320/3685
Pełny rekord metadanych
Pole DC | Wartość | Język |
---|---|---|
dc.contributor.author | Endou, Noboru | - |
dc.contributor.author | Okazaki, Hiroyuki | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-09T20:39:48Z | - |
dc.date.available | 2015-12-09T20:39:48Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Formalized Mathematics, Volume 21, Issue 3, 2013, Pages 163-170 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3685 | - |
dc.description.abstract | Double sequences are important extension of the ordinary notion of a sequence. In this article we formalized three types of limits of double sequences and the theory of these limits. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.subject | formalization of basic metric space | - |
dc.subject | limits of double sequences | - |
dc.title | Double Sequences and Limits | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/forma-2013-0018 | - |
dc.description.Affiliation | Endou Noboru - Gifu National College of Technology Japan | - |
dc.description.Affiliation | Okazaki Hiroyuki - Shinshu University Nagano, Japan | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University Nagano, Japan | - |
dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Czesław Bylinski. Binary operations. Formalized Mathematics, 1(1):175-180, 1990. | - |
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dc.description.references | Czesław Bylinski. Functions and their basic properties. Formalized Mathematics, 1(1): 55-65, 1990. | - |
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dc.description.references | Noboru Endou, Keiko Narita, and Yasunari Shidama. The Lebesgue monotone convergence theorem. Formalized Mathematics, 16(2):167-175, 2008. doi:10.2478/v10037-008-0023-1. | - |
dc.description.references | Andrzej Kondracki. Basic properties of rational numbers. Formalized Mathematics, 1(5): 841-845, 1990. | - |
dc.description.references | Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990. | - |
dc.description.references | Adam Naumowicz. Conjugate sequences, bounded complex sequences and convergent complex sequences. Formalized Mathematics, 6(2):265-268, 1997. | - |
dc.description.references | Jan Popiołek. Some properties of functions modul and signum. Formalized Mathematics, 1(2):263-264, 1990. | - |
dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1 (2):329-334, 1990. | - |
dc.description.references | Michał J. Trybulec. Integers. Formalized Mathematics, 1(3):501-505, 1990. | - |
dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73-83, 1990. | - |
Występuje w kolekcji(ach): | Formalized Mathematics, 2013, Volume 21, Issue 3 |
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Plik | Opis | Rozmiar | Format | |
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forma-2013-0018.pdf | 210,98 kB | Adobe PDF | Otwórz |
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