| 欧拉恒等式的推广 |
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| 引用本文： | 黄祖达,张月莲.欧拉恒等式的推广[J].湖南文理学院学报(自然科学版),2010,22(2):12-13. |
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| 作者姓名： | 黄祖达 张月莲 |
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| 作者单位： | 湖南文理学院,数学与计算科学学院,湖南,常德,415000;湖南文理学院,数学与计算科学学院,湖南,常德,415000 |
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| 摘 要： | 受用四元数证明欧拉恒等式的启发,利用八元数导出了一个恒等式,从而推广了欧拉恒等式--即欧拉四平方定理.
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| 关 键 词： | 欧拉恒等式 四元数 八元数 多元数 |
The Euler's identity promotes |
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| HUANG Zu-da,ZHANG Yue-lian.The Euler's identity promotes[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2010,22(2):12-13. |
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| Authors: | HUANG Zu-da ZHANG Yue-lian |
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| Institution: | HUANG Zu-da,ZHANG Yue-lian (College of Mathematics and Computational Science,Hunan University of Arts and Science,Changde 415000,China) |
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| Abstract: | According to the quaternion to prove the Euler's identity inspiration,an identical equation is derived using the biquaternion,thus the Euler's identity-Namely Euler four-square theorem is promoted. |
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| Keywords: | Euler's identity quaternion biquaternion |
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