Abstract Nonsense

A place for long-form blog posts.

An Afternoon Reading the Dictionary

I scripted the extraction of dictionary definitions from macOS’ built-in Oxford Dictionary archive to automate my new-vocabulary blog page. As all good automation projects, I probably spent more time automating the process than it would’ve taken to do it manually.

Hard problems: the Hadamard matrix problem

It’d be a bit imprecise to define a measure on the set of open problems, but I’d wager that it is much larger than the set of solved problems.

One such open conjecture is the Hadamard matrix problem, an unsolved problem in mathematics that keeps me up at night. Do square matrices \(H\) with entries \(\pm 1\) satisfying \(HH^T = nI_n\) exist for all \(n = 4k\)? The smallest unknown case is of order 668; like Order 66, but for mathematicians instead of Jedi.

A Living Log of Lexical Learnings

This is a living blog in which I collect new words I encounter through my reading or the random walk of daily life. I’ve got a few hundred words here now - the more arcane, archaic, or abstruse the better.

It's always DNS

Debugging an internet issue led me into the dark arts of DNS and an afternoon benchmarking DNS resolvers.