在缩减双四元数代数系统上定义了分数阶四元数傅立叶变换。
In this paper, we define the fractional quaternion Fourier transform based on reduced biquaternion algebra.
八元数实在是个古怪的东西，它们是仅有的可能做除法的四种数制中之一，因此容许运行满量程的代数运算。
They are one of only four number systems in which division is possible, and so allow the full range of algebraic operations to be performed.
基于旋转群代数，以航天器姿态控制研究为背景，提出了四元数的核心矩阵的概念。
A concept of kernel matrix of quaternion is proposed, which is based on rotation group algebra and with spacecraft attitude control as its background.
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