The Quaternion Numbers

• Autorzy: Xiquan Liang , Fuguo Ge
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 4
• Strony: 161-169

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Xiquan Liang

• Qingdao University of Science and Technology, China

autor

Fuguo Ge

• Qingdao University of Science and Technology, China

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-006-0020-1