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.
利用这一结果，给出了两个广义四元数代数同构的一个充分必要条件。
Wehave determind completely these representations. Using this result, we gave a necessary and sufficient condition about the problem of the isomorphism of two generalized quaternion algebras.
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.
本文建立了八元向量代数，它既是一种方阵代数，又作为一个更加完备的运算系统而包含了复数、矢量和四元数。
The eight-vecter algebra is found in the paper, as a kind of square matrix algebra and as more complete operation system containing the complex number vecter algebra and quaternion numbers.
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。
Octonions are indeed odd creatures. 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.
证明了任一环有代数封闭的扩张环，且实封闭域上的四元数体是代数封闭的，给出了代数封闭环的若干性质。
The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed.
用文中提出的体绘制算法绘制了三元数法和四元代数法所构造的三维M集。
Finally, the 3-d M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.
用文中提出的体绘制算法绘制了三元数法和四元代数法所构造的三维M集。
Finally, the 3-d M-sets generated by the ternary number and quaternion algebra are both rendered by our new algorithm.
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