xeonmc parent
Never liked that form of the Euler's formula. I prefer the following:
My objection to that is that there isn't a particularly natural reason not to say
(-1)ˣ = cos(πx) - i sin(πx)
That's not the point of the Identity. You exponentiated the beauty right out of it.
Beauty is in the eye of the beholder.
Instead shoehorning it into an arbitrary symbol salad by gimping its generality, I prefer the one which makes a statement: "What does it mean to apply inversion partially?"