Some Operations on Quaternion Numbers

Bo Li; Xiquan Liang; Pan Wang; Yanping Zhuang

Formalized Mathematics (2009)

  • Volume: 17, Issue: 2, page 61-65
  • ISSN: 1426-2630

Abstract

top
In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.

How to cite

top

Bo Li, et al. "Some Operations on Quaternion Numbers." Formalized Mathematics 17.2 (2009): 61-65. <http://eudml.org/doc/266673>.

@article{BoLi2009,
abstract = {In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.},
author = {Bo Li, Xiquan Liang, Pan Wang, Yanping Zhuang},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {61-65},
title = {Some Operations on Quaternion Numbers},
url = {http://eudml.org/doc/266673},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Bo Li
AU - Xiquan Liang
AU - Pan Wang
AU - Yanping Zhuang
TI - Some Operations on Quaternion Numbers
JO - Formalized Mathematics
PY - 2009
VL - 17
IS - 2
SP - 61
EP - 65
AB - In this article, we give some equality and basic theorems about quaternion numbers, and some special operations.
LA - eng
UR - http://eudml.org/doc/266673
ER -

References

top
  1. [1] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. 
  2. [2] Czesław Byliński. The complex numbers. Formalized Mathematics, 1(3):507-513, 1990. 
  3. [3] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  4. [4] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  5. [5] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  6. [6] Fuguo Ge. Inner products, group, ring of quaternion numbers. Formalized Mathematics, 16(2):135-139, 2008, doi:10.2478/v10037-008-0019-x.[Crossref] 
  7. [7] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. 
  8. [8] Xiquan Liang and Fuguo Ge. The quaternion numbers. Formalized Mathematics, 14(4):161-169, 2006, doi:10.2478/v10037-006-0020-1.[Crossref] 
  9. [9] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990. 
  10. [10] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990. 
  11. [11] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  12. [12] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 
  13. [13] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.