Summer of Math Exposition

intro and problem definition needed improving. also improve mic :)

The Manim animations were good, and there were lots of them. Definitely a successful first attempt at learning Manim.

Unfortunately I couldn’t follow this. You used a lot of concepts and theorems without really introducing them, and I quickly lost track of what we were doing and why, despite looking up terms that I didn’t know and rewinding. This seems like a really cool piece of math, and I hope to see a more fleshed out, beginner-friendly exposition now that you’re no longer under the time crunch of SoME5.

The topic is original and interesting, but you’re rushing through it and skipping some important steps.

Start by defining “majority function”, since that’s the main object you’ll be working with. Otherwise, the viewer will be scrambling to figure that out from context and missing the next thing you’re saying.

It would also help to explain why Post’s Lattice tells us that dual and monotone invariance are enough to create Maj_2025 from Maj_3. Justify the connection, don’t just assert it without proof.

The volume is too low. It’s hard to hear. The exposition is somewhat hamfisted: It starts with a flat statement of a problem and then “There’s a theory.” Then it just sort of lists out theories without leading into them or allowing them to arise from observations or examples. I thought you could do more to motivate what makes this problem interesting and worth studying. As a first attempt, some of the animations are good, but at other points, I just feel like there’s too much text. Also, I don’t think this is high school material. Talking about modulo congruencies is is undergrad material for math majors and maybe some CS majors.

Audio is way too quiet. Problem not clearly explained at start. The steps along the way are not explained in a comprehensible manner.

You lost me right at the start. I don’t know what a majority function on three binary inputs is, so I have zero idea what you are taking about. And there is more unexplained jargon right after it. Considering that this is supposed to be for high-schoolers…

good

The definition of a majority function would be helpful. Also, the background noise is distracting.