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http://hdl.handle.net/11320/21425Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Liang, Xiquan | - |
| dc.contributor.author | Ge, Fuguo | - |
| dc.date.accessioned | 2026-11-04T12:21:46Z | - |
| dc.date.available | 2026-11-04T12:21:46Z | - |
| dc.date.issued | 2006 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 14, Issue 4, Pages 161-169 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21425 | - |
| dc.description.abstract | In this article, we define the set H of quaternion numbers as the set of all ordered sequences q = <x,y,w,z> where x,y,w and z are real numbers. The addition, difference and multiplication of the quaternion numbers are also defined. We define the real and imaginary parts of q and denote this by x = ℜ(q), y = ℑ1(q), w = ℑ2(q), z = ℑ3(q). We define the addition, difference, multiplication again and denote this operation by real and three imaginary parts. We define the conjugate of q denoted by q*' and the absolute value of q denoted by |q|. We also give some properties of quaternion numbers. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | The Quaternion Numbers | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2008 Xiquan Liang, Fuguo Ge, published by University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.identifier.doi | 10.2478/v10037-006-0020-1 | - |
| dc.description.Affiliation | Xiquan Liang - Qingdao University of Science and Technology China | pl |
| dc.description.Affiliation | Fuguo Ge - Qingdao University of Science and Technology China | pl |
| dc.description.references | Grzegorz Bancerek. Arithmetic of non-negative rational numbers. To appear in Formalized Mathematics. | pl |
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| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 14 | pl |
| dc.description.issue | 4 | pl |
| dc.description.firstpage | 161 | pl |
| dc.description.lastpage | 169 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2006, Volume 14, Issue 4 | |
Pliki w tej pozycji:
| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| The_Quaternion_Numbers.pdf | 124,96 kB | Adobe PDF | Otwórz |
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