Posts

The problem Consider a function \(f: [0, 1] \to \mathbb{R}\) that is continuous with \(f(0) = f(1)\). It is possible to prove that for …

“Code golf” is the practice of trying to solve a specific problem or implement a specific algorithm in the smallest possible number of …

Introduction Many mathematicians have a rough mental list of “desert island” books - a small set of books they would choose if stranded …

In chapter 1 of their 2016 book Computer Age Statistical Inference, Bradley Efron and Trevor Hastie use as an example a study of kidney …

Consider a multinomial distribution with \(c\) categories and associated probabilities \(\pi_i\), where \(i = 1,...,c\). It is often …

Once upon a time, in a small town, there were two carpenters: Bob and Tom. Bob was an honest, hardworking carpenter with a good …

I’m reading a book that deals with the history of probability theory (Classic Problems of Probability by Prakash Gorroochurn). It is …

I recently came across a surprising connection between the geometric mean and logarithms. At least, it was surprising to me, but isn’t …

In a previous post, I said that an appropriate purgatory for physicists would be to have them read all of the words ever written on the …

In my last post, I discussed the geometric mean and how it relates to the more familiar arithmetic mean. I mentioned that the geometric …