this post was submitted on 30 Oct 2024
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Imaginary numbers always feel wrong
I never really appreciated them until watching a bunch of 3blue1brown videos. I really wish those had been available when I was still in HS.
After watching a lot of Numberphile and 3B1B videos I said to myself, you know what, I'm going back to college to get a maths degree. I switched at last moment to actuarial sciences when applying, because it's looked like a good professional move and was the best decision on my life.
After delving into quaternions, complex numbers feel simple and intuitive.
after you spend enough time with complex numbers, the real numbers start to feel wrong
Can we all at least agree that counting numbers are a joke? Sometimes they start at zero … sometimes they start at one …
ISO 80000-2 defines 0 as a natural number. qed.
If you are comfortable with negative numbers, then you are already comfortable with the idea that a number can be tagged with an extra bit of information that represents a rotation. Complex numbers just generalize the choices available to you from 0 degrees and 180 degrees to arbitrary angles.