complex unit

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Related to imaginary unit: Complex numbers

complex unit

[′käm‚pleks ′yü·nət]
(mathematics)
Any complex number, x + iy, whose absolute value, √(x 2+ y 2), equals 1.
References in periodicals archive ?
Notice that there is not a canonical way to think of a quaternionic space as a complex one: there are as many complex structures, as the imaginary units are.
In order for the equation to be solvable, p and q must have the same modulus and, as [omega] is the identity on R, they also must have the same real part: then it's enough to consider imaginary units.
Let p and q be imaginary units, and consider the equation gp = qg.
Consider now two quaternionic spaces X and Y, and let g and h be the imaginary units which define their complex structures, respectively.