#179: e to the pi times i
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{{Note my use of ^(x) and â(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 nâ(-1) ARE "IMAGINARY" BUT WE CAN STILL USE THEM IN EQUATIONS. OTHER: OKAY. EXPLAINER: AND e^(Ï â(-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.}}
Title text:I have never been totally satisfied by the explanations for why e to the ix gives a sinusoidal wave.