ABCD

e to the pi times i

I have never been totally satisfied by the explanations for why e to the ix gives a sinusoidal wave.
{{Note my use of ^(x) and √(x) standing in for the normal maths syntax in the comic}} [[Two people (anonymous: no hair or hats) stand in conversation, one gesturing over a flipchart of indistinct algebra.]] EXPLAINER: NUMBERS OF THE FORM n√(-1) ARE "IMAGINARY" BUT WE CAN STILL USE THEM IN EQUATIONS. OTHER: OKAY. EXPLAINER: AND e^(π √(-1))=-1. OTHER: NOW YOU'RE JUST FUCKING WITH ME. {{alt text: I have never been totally satisfied by the explanations for why e to the ix gives a sinusoidal wave.}}
I have never been totally satisfied by the explanations for why e to the ix gives a sinusoidal wave.