Blogs about Mathematics

Here we are going to look at several diagnostic plots are helpful when attempting to answer a causal question. They can be used to visualize the target population, balance, and treatment effect heterogeneity. Setup I’ve …

Why are automata so interesting? Automata are so simple that they fit in many places and situations.

The dunder method __new__ is used to customise object creation and is a core stepping stone in understanding metaprogramming in Python. Customising object creation with __new__ The dunder method __new__ is a static method that …

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Nicholas Shackel (Cardiff) has a new book out that might be of interest to readers, and there is a discount code available that Nick has asked me to pass on. Details below.Bertrand’s Paradox and the …

I wrote a little book about entropy; here’s the current draft: What is Entropy? If you see typos and other mistakes, or have trouble understanding things, please let me know! An alternative title would be …

As a stats nerd, I love it when clever people make lives easier by finding clever, easy, indirect ways to estimate the thing they want to measure. As a statistics instructor, I find such examples …

No, not a eulogy! I’ve been a bit concerned for a while about how stable wordpress is as a website — various plugins are always updating on their own, and I have sometimes noticed that …

The British Combinatorial Committee has a new website: www.britishcombinatorics.org.uk/ Take a look, and pass on any comments! My personal thanks to Julia Wolf. The WordPress site I maintained for several years will now be decommissioned. …

After attending an Oberwolfach workshop with Kristin DeVleming and Anne-Sophie Kaloghiros where they helped me navigate the literature on K-stability for Fano 3-folds (thanks so much!), the current state of the art can now be …

I was in a coffeeshop in Berkeley, CA when Joe Biden announced he wouldn’t be running for re-election. I kind of wanted to talk to somebody about it but it wasn’t clear anybody else knew …

Figure 1. Survey done in 1949 by 17-year-old George Washington, County Surveyor of Culpeper County, Virginia. Source: https://virginiahistory.org/learn/george-washington-land-surveyor. I learned two things about George Washington’s early life in school: the cherry tree “I cannot tell …

Team Ratings for Round 21 The basic method is described on my Department home page. Here are the team ratings prior to this week’s games, along with the ratings at the start of the season. …

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I’ve just uploaded to the arXiv my paper “Dense sets of natural numbers with unusually large least common multiples“. This short paper answers (in the negative) a somewhat obscure question of Erdös and Graham: Problem …

A huge amount happened in the Lean theorem prover community in 2023; this blog post looks back at some of these events, plus some of what we have to look forward to in 2024. Modern …

Bertrand and I have recently finished our review paper on Bayesian prediction. One of my favorite part there is the distinction between inferential and predictive Bayes. A Bayesian procedure is such that we treat observed …