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arXiv 1503.05413math.GM
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分裂四元数矩阵的De- Moivre公式和Euler公式

De- Moivre's and Euler Formulas for Matrices of Split Quaternions

Melek Erdogdu, Mustafa Ozdemir

摘要:

本文利用四元数的因果性,研究了分裂四元数的实矩阵表示。然后,分别给出了类时分裂四元数和类空分裂四元数的实矩阵的De-Moivre公式。最后,我们给出了纯分裂四元数的实矩阵的Euler定理.

英文摘要:

In this paper, real matrix representations of split quaternions are examined in terms of the casual character of quaternion. Then, we give De-Moivre' s formula for real matrices of timelike and spacelike split quaternions, separately. Finally, we state the Euler theorem for real matrices of pure split quaternions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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