Nah, since we’ve been doing proper analysis, we already derived everything from a topological standpoint. So, we’ll just open the chapter on measures and measurable functions, quickly extend them to a proper probabilistic framework, use a few standard inequalities to prove the CLT, and show that using the average flow in the PDE that we previously used can cause at most a delta error with a p<e.

Next time make sure to design a chaotic defense system that is actually unsolvable. Adding simple uncertainty as a defense only encourages students to actually use their analysis skills.