The complex number of the equation z = x + iy is x.
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There are no real reason why it is denoted by z, but that the real number axis is denoted by x, imaginary number is denoted by y, the real part of a complex number is denoted by a, the imaginary part of a complex number is denoted by b, so there is z left.
In complex mode functions, modules, and procedures cannot operate. For a complex number z = x + yi, first define the absolute value. This would be |z| and is the distance from z to 0 in the complex plane.
The possible values of z are (a cis b), where a is any number between and including 0 and 2 and b is any of 0, 60, 120, 180, 240 and 300 degrees. The minimum modulus of z - 2, that is |z - 2|, is 0.
Yes and it is z=x+iy
You can use another complex number, a real number or an imaginary number. Complex number equations make interesting images. The link shows the image produced by (z-1)/(z+1) and inverses the checkerboard around two points.