I'm not great with math beyond high school level. But I am very interested in, among many things, analog synthesiser emulations. The "zero delay filter" was a big innovation in the mid 2000s that led to a big jump in emulation accuracy.

I tried to understand how they work and hit a brick wall. Recently I had a chat with an LLM and it clicked. I understand how the approximation algorithm works that enables solving for the next sample without the feedback paradox of needing to know it's value to complete the calculation.

Just one example of many.

It's similar to sitting down with a human and being able to ask questions that they patiently answer so you can understand the information in the context of what you already know.

This is huge for students if educational institutions can get past the cheating edge of the double edged sword.