I'll have to admit: the only maths I was ever any good at was geometry, much to the despair of my poor father, who could do incredible mental maths and just assumed his offspring would inherit those traits.
Alas, that's not how it works. I'm a great speller, though. I guess that's more customary for one of my gender, anyway. Hate to make generalizations though: my FoxPro programmer friend was a girl and a whiz at maths!

The diagrams and formulas you've presented here make your math functions a lot clearer - for me, especially - in a practical, Poser-material-room sense. I'm sure there are infinitely more applications for these formulas for non-Poser artists - I'm just glad we've got you on-side to bring the material room up to potential.
To paraphrase CobaltDream, the idea of creating precise art using judiciously-applied formulas is infinitely appealing. I've been mulling over the directions this all could go, and find it incredibly exciting.

I must admit, though, that whilst I am beginning to see how one could create colour curves and swirls that would end up as eye-shadow or body-art, I think I'll still go the route of layered masks for the time being.

Also, I'd love to develop - or see developed - a more sophisticated approach to hair, which is still Poser's weak link. No one has come close to emulating Kozaburo's technique, which is why hair all looks like it's made of wire.

Monterey/Mint21.x/Win10 - Blender3.x - PP11.3(cm) - Musescore3.6.2

Wir sind gewohnt, daß die Menschen verhöhnen was sie nicht verstehen
[it is clear that humans have contempt for that which they do not understand] 

Metaphor of Chooks