由此，把复数域上矩阵论的若干重要定理推广到了四元数体。
Accordingly, we extended several important theorems of complex matrix theory to the quaternion field.
最后，把菲涅耳数推广到复数域，并用于研究截断高斯光束的衍射问题。
Finally we extend the Fresnel number to the region of complex number, and use it to investigate the diffraction problem of a truncated Gaussian beam.
在数集的基础上，在整数域上建立了一个新的交换半群，并在有理数域、实数域和复数域上进行了推广；作为应用，讨论了其元素的表示形式。
Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.
在数集的基础上，在整数域上建立了一个新的交换半群，并在有理数域、实数域和复数域上进行了推广；作为应用，讨论了其元素的表示形式。
Based on the number set, a new commutative semi-group is established in the integer number and extended in number fields of rational number, real number and the complex number.
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