Transcripts of AI generated math course playlist intro videos be like:
"reflective algebra is an incredibly powerful branch of mathematics that extends the usual operations on numbers to geometric mirrors.
in school, we first learned elementary arithmetic, where we add, subtract, multiply and divide numbers. we then later learned about elementary algebra, where we start describing these operations on arbitrary numbers, this leads to the finding of equations that are valid for all numbers:
a+b = b+a
a(b+c) = ab+ac
similarly, there is reflective arithmetic, where we add, subtract, multiply and divide mirrors. this leads to reflective algebra, where we start describing these operations on arbitrary mirrors, this leads to the finding of equations that are valid for all mirrors:
x̂x̂ = 1
xy = x•y + xʌy
many problems in geometry, computer graphics, etc, are reflective problems, so reflective algebra provides solutions in all of these fields.
so then, if reflective algebra is so useful, then how come it doesn't seem to get used that much? one of the reasons is a lack of introductary material for it. most introductions to reflective algebra are only found in esoteric corners of the online math community. this causes math teachers to not care about reflective algebra, and thus there is no one to teach the students.
so the handful who know about this obscure branch of math had to learn how to solve reflective problems without reflective algebra before learning to solve them with reflective algebra. and as any member of the former would tell you from experience using the formalism, reflective algebra doesn't get more complicated that what would would see using something else, and in many cases, it is simpler.
with all of that intro said, i hope that you will join me in discovering reflective algebra."