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arXiv · 2111.04491

Dual Quaternions and Dual Quaternion Vectors

Liqun Qi·Chen Ling·Hong Yan
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Abstract

We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to the properties of the absolute value function of real numbers. We define the magnitude of a dual quaternion, as a dual number. Based upon these, we extended $1$-norm, $\infty$-norm and $2$-norm to dual quaternion vectors.

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Liqun Qi, Chen Ling, Hong Yan. 2021-11-08. Dual Quaternions and Dual Quaternion Vectors. https://arxiv.org/abs/2111.04491

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