论三元数及其性质

On Triplet Number and It's Properties

复数可扩充为三元数:S=a+bi+cφ,其中i2=-1,φ2=-i,iφ=i+φ.这里i称为虚元,φ称为玄元.初步论述三元数及其性质.

Triplet number S=a＋bi＋cφ,which is the extension of complex number,is introduced,here i2=-1,φ2=-i,iφ=i＋φ,where i is the imaginary unit,φis the mysterious unit.And it＇s some important properties are given in the present paper,too.