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

i suggest you read up on fourier transformations. any signal that contains periodicity can be mapped to the frequency domain, which is equivalent to decomposing it into a bunch of sine/cosine waves. remember euler’s formula for polar coordinates – that’s where the complex numbers come in

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