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Mixing Complex and Real


Siva Subramanian

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Not sure what you mean by a combination -- sum, product, ordered pair?

 

But a complex function [math]f(z) = w[/math] maps the [math]z[/math]-plane to the [math]w[/math]-plane. So the graph lives in 4-space.

 

What's often done is to show nice color pictures of the real or imaginary parts of a complex function. Here's a page I found but these kinds of pictures are all over the Web.

 

http://www.geom.uiuc.edu/~banchoff/script/CFGExp.html

Edited by wtf
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