I'm currently using it to analyze a version of the Kaczmarz algorithm, generalizing my answer here: https://mathoverflow.net/a/490506/5429 https://mathoverflow.

I'm currently using it to analyze a version of the Kaczmarz algorithm, generalizing my answer here: https://mathoverflow.net/a/490506/5429 https://mathoverflow.net/a/490506/5429 But more generally, why do we want to analyze combinatorics and algorithms? I suppose it gives us some confidence that we are actually making progress.