complex numbers uses
Complex numbers are used to describe the two distinct properties of one single object or phenomena, at the same time.
Or maybe the two orthogonal properties in some domain we are most concerned with. Though orthogonal, they may do have some relationships.
For example, postion on a plane , (x,y), they are on the same dimension.
Complex number used in circuit analysis is due to Euler equation. It describe the amplitude and phase of a sinusoidal shape at the same time.
Why not make man + i*woman as the complex number to describe a family?