Visualising features from intricate numbers to intricate numbers
One manner in which operates from C to C can be stood for is to show the photo of a grid. That is, story the photos of the lines x = constant and also y = constant under your function, where z = x+yi.
An additional is what Wikipedia calls domain coloring (see this article by Hans Lundmark for an extra thorough presentation. The suggestion below is to tint the series of the facility function - - given that shade room is 3 - dimensional there are numerous means to do this - - and afterwards shade each factor in the domain name by the shade of the equivalent factor in the array.
Open 2 internet browser home windows side - by - side and also usage wolfram alpha. Modify your function f (z) as f (x+iy) and also story the real part in one window and also the imaginary part in an additional. My instance web links give stories for z 3 .