Posts

Here is an interesting problem having to do with dice and probability. Take a normal, fair die. Instead of labeling the faces with the …

It is interesting to look at what happens when you try to “fit” the absolute value function using polynomials. Pick some …

Building on my last post, here is another way to construct a parabola using a collection of straight lines. First, the description, …

There are several ways to draw a parabola using straight lines. If you get a chance, you should try one sometime - it is always …

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 …