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http://hdl.handle.net/11320/3607Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Korniłowicz, Artur | - |
| dc.date.accessioned | 2015-12-06T19:04:50Z | - |
| dc.date.available | 2015-12-06T19:04:50Z | - |
| dc.date.issued | 2011 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 19, Issue 3, 2011, Pages 127-130 | - |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.issn | 1898-9934 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/3607 | - |
| dc.description.abstract | The Mazur-Ulam theorem [15] has been formulated as two registrations: cluster bijective isometric -> midpoints-preserving Function of E, F; and cluster isometric midpoints-preserving -> Affine Function of E, F; A proof given by Jussi Väisälä [23] has been formalized. | - |
| dc.language.iso | en | - |
| dc.publisher | De Gruyter Open | - |
| dc.title | Mazur-Ulam Theorem | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.2478/v10037-011-0020-7 | - |
| dc.description.Affiliation | Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland | - |
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| dc.description.references | Artur Korniłowicz. Collective operations on number-membered sets. Formalized Mathematics, 17(2):99-115, 2009, doi: 10.2478/v10037-009-0011-0. | - |
| dc.description.references | Jarosław Kotowicz. Convergent sequences and the limit of sequences. Formalized Mathematics, 1(2):273-275, 1990. | - |
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| dc.description.references | Stanisław Mazur and Stanisław Ulam. Sur les transformationes isométriques d'espaces vectoriels normés. C. R. Acad. Sci. Paris, (194):946-948, 1932. | - |
| dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | - |
| dc.description.references | Jan Popiołek. Real normed space. Formalized Mathematics, 2(1):111-115, 1991. | - |
| dc.description.references | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. | - |
| dc.description.references | Andrzej Trybulec. A Borsuk theorem on homotopy types. Formalized Mathematics, 2(4):535-545, 1991. | - |
| dc.description.references | Andrzej Trybulec. On the sets inhabited by numbers. Formalized Mathematics, 11(4):341-347, 2003. | - |
| dc.description.references | Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990. | - |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. | - |
| dc.description.references | Jussi Väisälä. A proof of the Mazur-Ulam theorem. http://www.helsinki.fi/~jvaisala/mazurulam.pdf | - |
| 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. | - |
| Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2011, Volume 19, Issue 3 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| v10037-011-0020-7.pdf | 246,6 kB | Adobe PDF | Otwórz |
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