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Sam Roberts wrote:
> What do people use complex numbers for?

In my own work I've used them for discrete systems (FFTs, signal
processing, etc.). I've also used them for fun many times, just for
exploring various transformations. And I've seen them used in some
physics domains, too (can't say I'm an expert in QM, though).

A generalization of complex numbers, quaternions, turns out to be good
for smoothly rotating objects. So quaternions are used in many graphics
libraries. Check it out at the Wikipedia [1]; it's pretty cool stuff.
And if you have a mathematical bent, check out octonions, too [2,3].



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