Complex numbers are worthless

what the fuck is this?
if you mathematical model produces results like this, why even bother using it?

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Because it's useful

Another one of these threads. Great!

this is pretty much complex numbers, theyre like dark numbers; made up -- not the best answer.

>Brainlet is still confused by complex numbers
>Doesn't reflexively convert rectangular to superior polar where the reason for this is obvious
Just fucking kill yourself.

all numbers are made up

This.
nobody is retarded enough to be a platonist

How are naturals made up?
That's like saying you can't distinguish between nothing, one, and many.
Likewise, we did not invent triangles, squares, etc... they're already present in nature.

There's no such thing as a perfectly 2-d line, or a 1-d point, or an infinitely extended line, but they all exist in geometry. Just because you can make some nice diagrams in nature which help you work with geometry doesn't mean the subject of geometry existed before it was made up.

Likewise you can show me 1 apple, or 2 pears, but you can't show me 1. It's an abstract concept, and it's something that humans generations ago struggled to even accept as a lone concept. The idea of 1 being its own thing is actually a somewhat newer idea, people used to always thing of numbers in terms of things (1 sheep, a line made of two units of measure, etc) not just on their own.

So yeah, made up as fuck.

>what is phasor analysis

Real talk, how is i^i visualized?