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

AC circuit analysis. There are components, inductances and capacitors, that need knowledge of calculus to understand how they work. But if the current changes like sine wave, all calculations are exactly the same as they are for resistors and direct current, only in complex numbers. And – wonder – no calculus needed. Just simple addition and multiplication.

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