Summer of Math Exposition

I liked it allot. You can try to color your equations though and different parts inside your equations. It allows focusing on key details, builds relations. And removes strain on the eyes and attention. And it creates visual variation.

The video made good use of graphics to explain the differing paths through state space to explain how elo systems work and how at best they could be manipulated.

You used a bit too much higher level math without warning or much explanation at around 7:50. Also, it’s a bit handwavy and fast paced. I was able to follow along well enough, but I think most people who are familiar with the jargon used would also be able to reach the same conclusion in a few minutes if presented the question. The simplicity of the problem is conflicting with the high assumption of knowledge you make of the viewer. The rest was overall good: the visuals were good, the audio was good enough, and the math seems solid to me (though very handwavy and with a lot of gaps to be filled in by the wiewer, and I admittedly haven’t taken the time to check all of it).

Theoretically one of the best videos out there explaining elo in more mathematical term . I would Love if you make another video on that another function you were taking about

I watched this one earlier and thought it was very fun. Wish it was a bit more generalized, but overall spectral collection’s vids are great!

The lack of examples really brings this video down. I understand that this video was meant to go over the general case, but with all the symbols having an unfamiliar definition, it can easily became a mess of symbolic manipulation. There were a lot of great points in the video, but I felt like we jumped from A to B instead of smoothly moving from one point to another. Solid video, but please use more examples next time.

This was a fun demonstration of an analysis sort of argument trying to nail down bounds, and I liked that you started with a problem that was very easy to conceptualize, using words like “consipre.” It’s cool that this was original research—you could have mentioned that more!

A few times like at 10:30, you say “sigmoid” where “logistic” would have been less ambiguous—all of the curves you mention are sigmoids according to the traditional definition of a sigmoid.

I would’ve liked to see a bit more justification beyond “it turns out” for why the discrete and continuous versions of the problems are good approximations of each other.

I would be curious if there are truly optimal exact answers for small numbers of games to help ground what we’re thinking about in something more concrete, rather than just asymptotics.

I like the explanation and visualisation of elo (as it also is used in online games like age of empires and is nowhere quite as well explained).

Loved the little foxes. They’re quite cute and bring a boost of positiv emotion to an otherwise neuteal topic.

I’d avoid gendered names for the examplary foxes.

Maybe split it into two videos.

I have to admit, I was biased towards this video from the start; foxes and mathematics of games are both topics of interest to me! The topic itself was one that I’d never considered before but immediately caught my interest so effectively as to leave me wondering why I hadn’t considered it. You covered the principles well, the transition from discrete to continuous was well-handled (The little callout of Euler’s method was a nice touch; a few seconds of why it’s good for this diffeq particularly would’ve been nifty, but the video is already pretty packed!) and the results were all really nifty to see. The only real suggestion I have would be to watch your audio levels; a couple of spots seemed to have clear re-records, and even in the sections that weren’t it seemed like you moved towards and away fro the mic and your levels changed. it might’ve been worthwhile to try and equalize / filter a bit there to try and get the audio to match better, but that really is nitpickery; overall this was a delight, one of my favorites of SOME so far!