Quote:
Originally Posted by PairTheBoard
Right. i has magnitude 1 and is at a 90 degree angle to the positive real axis. So i*i has magnitude 1*1 and is at 180 degrees to the positive real axis. i.e. -1. This works for any (a+bi)*(c+di). The magnitudes are multiplied and the angles are added. It's called De Moivre's Theorem.
Fourier Series is awesome. It's like magic.
PairTheBoard
So when we talk about numbers, we use distance as what we later call magnitude. Is it better, or a more pure way to think about numbers using revolutions and distance? I mean in the way that numbers are used these days, it is like every meaningful number has a set of parameters which all act like revolutions around different imaginary axis.
I don't know enough about how linear algebra applies to topology to really complete my thought here. I love low content threads, i dont even need to!