The foundation of all science and technology.

Expected profit for a 50/50 Raffle

An auto race I recently attended also ran a 50/50 raffle, which is where a single winner receives 50% of the money collected from ticket sales. Just like any form of gambling, it’s almost certainly a bad idea on average, but I wasn’t able to figure out …

An alternative method to compute Gauss's sum

Gauss famously (and possibly fictionally) computed the sum between 1 and 100 at a young age. His original logic relies on symmetry and geometrical thought, especially triangles. In this write up we provide an alternative derivation of …

Re() and Im() as complex numbers

A summer day in 2019 reading Complex Variables and Applications by Churchill inspired what I now realize is almost certainly a useless (but perhaps slightly amusing) result. Enjoy.