I figure if I keep my sketches down to a couple of minutes, I could probably get a few more up, even in these busy times. Busy indeed: it’s 10:59pm, and I’m just finishing up my math homework. We’re learning about branch cuts in complex analysis now, and it makes my head hurt a little bit. Branch cuts are constructs that you put in place to avoid the heartache of multi-valued functions. Even the seemingly innocent square root behaves badly around complex numbers! For shame!
Our professor tried to convey the grievous consequences of crossing branch cuts by flickering the lights on and off for dramatic effect. This is not something to be taken lightly, friends.