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http://hdl.handle.net/11320/3563
Pełny rekord metadanych
Pole DC | Wartość | Język |
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dc.contributor.author | Korniłowicz, Artur | - |
dc.date.accessioned | 2015-12-02T18:02:13Z | - |
dc.date.available | 2015-12-02T18:02:13Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Formalized Mathematics, Volume 18, Issue 1, 2010, Pages 81-85 | - |
dc.identifier.issn | 1426-2630 | - |
dc.identifier.issn | 1898-9934 | - |
dc.identifier.uri | http://hdl.handle.net/11320/3563 | - |
dc.description.abstract | In the article we prove that a family of open n-hypercubes is a basis of n-dimensional Euclidean space. The equality of the space and the product of n real lines has been proven. | - |
dc.language.iso | en | - |
dc.publisher | De Gruyter Open | - |
dc.title | The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines | - |
dc.type | Article | - |
dc.identifier.doi | 10.2478/v10037-010-0011-0 | - |
dc.description.Affiliation | Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland | - |
dc.description.references | Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | - |
dc.description.references | Grzegorz Bancerek. König's theorem. Formalized Mathematics, 1(3):589-593, 1990. | - |
dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. | - |
dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. | - |
dc.description.references | Leszek Borys. Paracompact and metrizable spaces. Formalized Mathematics, 2(4):481-485, 1991. | - |
dc.description.references | Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. | - |
dc.description.references | Czesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529-536, 1990. | - |
dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. | - |
dc.description.references | Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990. | - |
dc.description.references | Agata Darmochwał. The Euclidean space. Formalized Mathematics, 2(4):599-603, 1991. | - |
dc.description.references | Agata Darmochwał and Yatsuka Nakamura. Metric spaces as topological spaces - fundamental concepts. Formalized Mathematics, 2(4):605-608, 1991. | - |
dc.description.references | Jarosław Gryko. Injective spaces. Formalized Mathematics, 7(1):57-62, 1998. | - |
dc.description.references | Stanisława Kanas, Adam Lecko, and Mariusz Startek. Metric spaces. Formalized Mathematics, 1(3):607-610, 1990. | - |
dc.description.references | Artur Korniłowicz. Arithmetic operations on functions from sets into functional sets. Formalized Mathematics, 17(1):43-60, 2009, doi:10.2478/v10037-009-0005-y. | - |
dc.description.references | Beata Madras. Product of family of universal algebras. Formalized Mathematics, 4(1):103-108, 1993. | - |
dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990. | - |
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 | Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990. | - |
dc.description.references | Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 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. | - |
Występuje w kolekcji(ach): | Artykuły naukowe (WInf) Formalized Mathematics, 2010, Volume 18, Issue 1 |
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v10037-010-0011-0.pdf | 265,5 kB | Adobe PDF | Otwórz |
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