Yeah the notation struggle is real. Always different letters, but also the tradition of using exponential (technically multiplicative) notation leads to some unreadable crap sometimes.
Discussion
FWIW I thought your notation in 0 to bulletproofs paper was top notch. Made something rather complex a bit less difficult to follow.
"Team additive notation" as we call it 😁
Feel there's a joke in there I'm missing.
The vector and "inner product" conventions were particularly nice though.
Writing P =xG instead of P = g^x is using additive notation. In something like bulletproofs that matters a lot. Yeah, conventions for inner products and vectors are very helpful, though one has to be careful with them. I think the bulletproofs paper itself from 2017 was quite influential in that regard.
Oh yeah, I get that. I hate multiplicative notation! Thought maybe the word "team" referred to something more.
I need to get back to studying more cryptography. Been distracted with foundational math stuff lately, which is interesting as heck imo, but not very practical, alas.