SIMO Retiree Blog

(Wee Kean here.) Some time a year ago, for some reason, the then observers and I were reading the following paper . It is related to Hilbert's tenth problem which asks: given any diophantine equation, is there a general algorithm to decide whether the equation has a solution in integer values? But how do we decide what an algorithm can or cannot do?

(Dylan here.) I realised the general content on this blog is pitched at a rather high level. Here's an attempt to balance it.

(David here.) In my analysis set from 2020 , I had an overly ambitious section titled "Bears and Cats". Four years later, I've finally decided to compile my solutions somewhere and to record the intention behind this set. This post will assume some familiarity with closed/open sets and continuous functions.

(Gabriel here.) Today I'll talk about an interesting distribution problem that I solved recently and my thought process when solving it.