what are some applications of complex numbers?

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So I’m looking for some applications that are relatively easy to understand, ideally in like CS or physics, but anything works. I’ve seen it be talked about in discussions of oscillations (I have a pretty good basic understanding of pendulum motion, for example, but I don’t understand how complex numbers come in), or in AC currents (I have like 0 background in electricity and magnetism apart from basic high school physics with super basic DC systems), but I can never understand how we use complex numbers for that…

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Anonymous 0 Comments

In three-phase AC current you have three sine waves, but they each reach their peak at a different time. This is called phase-shift.

Complex numbers let you do maths on all of them at once whilst preserving the phase.

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