Refresher on Complex Numbers and Exponentials
- from: Jakob Nacanaynay <jn567@cornell.edu>
- to: You <anyone@out.there>
- date: November 1, 2026, 1:28 AM
- subject: Refresher on Complex Numbers and Exponentials
Complex Numbers
\[\begin{align*} & j = \sqrt{-1} \\ & j\cdot j = -1 \\ & j = -\frac{1}{j} \\ & e^{j\omega t} = \cos(\omega t) + j\sin(\omega t) \end{align*}\]Exponentials
\[\begin{align*} & e^ae^b = e^{a+b} \\ & e^{-a} = \frac{1}{e^a} \end{align*}\]---
~ Jakob Nacanaynay
(nack-uh-nigh-nigh)
he/him/his
GPG public key