What is the use/need of complex numbers in real life if they are imaginary?
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Math isn’t just about numbers, it’s about relationships between things. The real numbers are one way that things can be related to one another, and the complex numbers are another.
In the real world, electronic circuits that use alternating current are one system where complex numbers are useful, and quantum mechanics is another. In general, complex numbers show up in any situation where you can imagine rotation as a useful metaphor, such as a changing system that goes from positive to zero to negative to zero over time.
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