3+ day, 18+ hour ago   (257+ words) A rising tide may lift all boats, but the AI tide lifts some boats much more than others. By all accounts, the best programmers have had the biggest productivity boost from AI. And top tier mathematicians are using AI to…...

2+ week, 5+ day ago   (259+ words) Probability density function must integrate to 1, and so if you know a density function up to a constant, the constant is determined. This post will do the opposite of the advice above and focus on normalization constants because this ties…...

2+ week, 6+ day ago   (509+ words) Special functions often have arcane names that not very helpful without some context. The previous post goes into some reasons for this. This post will expand on a point at the end of the post about “modified” functions. Things are…...

3+ week, 6+ day ago   (181+ words) The first post in the recent series of posts on Hadamard matrices describes a way of constructing new Hadamard matrices from two other Hadamard matrices by taking their Kronecker product. Starting with a Hadamard matrix H0 and a Hadamard matrix G,…...

4+ week, 17+ hour ago   (469+ words) Hadamard matrices are in the news following the recent announcement of a newly discovered Hadamard matrix. I’ve written three posts on Hadamard matrices recently, one as a sort of introduction and two on applications: the error correcting code used in…...