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http://hdl.handle.net/11320/3629
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Narita, Keiko | - |
dc.contributor.author | Korniłowicz, Artur | - |
dc.contributor.author | Shidama, Yasunari | - |
dc.date.accessioned | 2015-12-06T19:05:20Z | - |
dc.date.available | 2015-12-06T19:05:20Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | Formalized Mathematics, Volume 20, Issue 1, 2012, Pages 65-71 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3629 | - |
dc.description.abstract | In control engineering, differentiable partial functions from R into Rⁿ play a very important role. In this article, we formalized basic properties of such functions. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | The Differentiable Functions from R into Rⁿ | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-012-0009-x | - |
dc.description.Affiliation | Narita Keiko - Hirosaki-city, Aomori, Japan | - |
dc.description.Affiliation | Korniłowicz Artur - Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland | - |
dc.description.Affiliation | Shidama Yasunari - Shinshu University, Nagano, Japan | - |
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dc.description.references | Noboru Endou and Yasunari Shidama. Completeness of the real Euclidean space. Formalized Mathematics, 13(4):577-580, 2005. | - |
dc.description.references | Noboru Endou, Yasunari Shidama, and Keiichi Miyajima. Partial differentiation on normed linear spaces Rn. Formalized Mathematics, 15(2):65-72, 2007, doi:10.2478/v10037-007-0008-5. | - |
dc.description.references | Hiroshi Imura, Morishige Kimura, and Yasunari Shidama. The differentiable functions on normed linear spaces. Formalized Mathematics, 12(3):321-327, 2004. | - |
dc.description.references | Takao Inoué, Adam Naumowicz, Noboru Endou, and Yasunari Shidama. Partial differentiation of vector-valued functions on n-dimensional real normed linear spaces. Formalized Mathematics, 19(1):1-9, 2011, doi: 10.2478/v10037-011-0001-x. | - |
dc.description.references | Keiichi Miyajima and Yasunari Shidama. Riemann integral of functions from R into Rn. Formalized Mathematics, 17(2):179-185, 2009, doi: 10.2478/v10037-009-0021-y. | - |
dc.description.references | Keiko Narita, Artur Kornilowicz, and Yasunari Shidama. More on the continuity of real functions. Formalized Mathematics, 19(4):233-239, 2011, doi: 10.2478/v10037-011-0032-3. | - |
dc.description.references | Takaya Nishiyama, Keiji Ohkubo, and Yasunari Shidama. The continuous functions on normed linear spaces. Formalized Mathematics, 12(3):269-275, 2004. | - |
dc.description.references | Hiroyuki Okazaki, Noboru Endou, Keiko Narita, and Yasunari Shidama. Differentiable functions into real normed spaces. Formalized Mathematics, 19(2):69-72, e2011, doi: 10.2478/v10037-011-0012-7. | - |
dc.description.references | Hiroyuki Okazaki, Noboru Endou, and Yasunari Shidama. More on continuous functions on normed linear spaces. Formalized Mathematics, 19(1):45-49, 2011, doi: 10.2478/v10037-011-0008-3. | - |
dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | - |
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dc.description.references | Konrad Raczkowski and Paweł Sadowski. Topological properties of subsets in real numbers. Formalized Mathematics, 1(4):777-780, 1990. | - |
dc.description.references | Yasunari Shidama. Banach space of bounded linear operators. Formalized Mathematics, 12(1):39-48, 2004. | - |
dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 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. | - |
dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. | - |
dc.description.references | Hiroshi Yamazaki and Yasunari Shidama. Algebra of vector functions. Formalized Mathematics, 3(2):171-175, 1992. | - |
Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2012, Volume 20, Issue 1 |
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v10037-012-0009-x.pdf | 309,07 kB | Adobe PDF | Otwórz |
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