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http://hdl.handle.net/11320/21425| Tytuł: | The Quaternion Numbers |
| Autorzy: | Liang, Xiquan Ge, Fuguo |
| Data wydania: | 2006 |
| Data dodania: | 4-lis-2026 |
| Wydawca: | University of Białystok |
| Źródło: | Formalized Mathematics, Volume 14, Issue 4, Pages 161-169 |
| Abstrakt: | 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. |
| Afiliacja: | Xiquan Liang - Qingdao University of Science and Technology China Fuguo Ge - Qingdao University of Science and Technology China |
| URI: | http://hdl.handle.net/11320/21425 |
| DOI: | 10.2478/v10037-006-0020-1 |
| ISSN: | 1426-2630 |
| e-ISSN: | 1898-9934 |
| Typ Dokumentu: | Article |
| metadata.dc.rights.uri: | https://creativecommons.org/licenses/by-sa/4.0/ |
| Właściciel praw: | © 2008 Xiquan Liang, Fuguo Ge, published by University of Białystok This work is licensed under the Creative Commons License. |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2006, Volume 14, Issue 4 |
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