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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

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1898-9934
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Volume 18, Issue 1 (Jan 2010)

Issues

The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines

Artur Korniłowicz
  • Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland
Published Online: 2011-01-05 | DOI: https://doi.org/10.2478/v10037-010-0011-0

The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines

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.

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About the article


Published Online: 2011-01-05

Published in Print: 2010-01-01


Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-010-0011-0. Export Citation

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