Comment on Listen here, Little Dicky
jsomae@lemmy.ml 1 week agoe^iθ^ is not just notation. You can graph the entire function e^x + iθ^ across the whole complex domain and find that it matches up smoothly with both the version restricted to the real axis (e^x^) and the imaginary axis (e^iθ^)
shapis@lemmy.ml 1 week ago
I’m aware of that identity. There’s a good chance I misunderstood what she said about it being just a notation.
jsomae@lemmy.ml 1 week ago
It’s not simply notation, since you can prove the identity from base principles. An alien species would be able to discover this independently.