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Abstract: Based on a brief review on developments of number system, a new developedpattern is proposed. The quaternion is extended to a matrix form aI+bC+cB+dA,in which the unit matrix I and three special matrices C,B,A correspond tonumber 1 and three units of imaginary number i,j,k, respectively. They formusually a ring. But some fields may be composed of some special 2-rank, evenn-rank matrices, for example, three matrices aI+bC, aI+cB, aI+dA and so on. Itis a new type of hypercomplex number fields. Finally, the physical applicationsand possible meaning of the new number system is researched.



Autor: Yi-Fang Chang

Fuente: https://arxiv.org/







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