SIMO Retiree Blog

(Wee Kean here.) I'd like to give a brief intro to linear algebra and wrap up with some personal experience with learning math.

(Yu Peng here) Sometimes, you feel like you should be on the right track in solving a problem, but your solution falls short a little, due to issues like having a suboptimal bound, or having a condition you need but isn't true. At other times, you could just be struggling to find the optimal construction. At such times, it would often do you good to take a step back, and think about how you can optimise your solution.

(This is Yan Sheng.) Exercise : What are the greatest results in math, ever? List 5 of them (or 10, or 20, or...) that you think should be on any reasonable compilation of all-time greatest theorems.

(This is Glen.) Some time ago, Etienne posted about  this problem on rectangle tilings , to which this was my reaction in our blog Discord channel: Glen declares this to be his favourite combi problem. I, too, think that this problem deserves an article of its own, and so this is my attempt.