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.

youdao

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.

youdao

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.

youdao