So why not just write the original formula into the comment above the code? Maybe it's not the purest approach, but it sure would help parsing the code in this case.
\vec r = \frac {n_{1}}{n_{2}} \cdot (\vec v - dot(\vec v, \vec n) \cdot \vec N) - \sqrt{1 - \frac {n_{1}^2}{n_{2}^2} \cdot (1 - dot(\vec v, \vec n))} \cdot \vec N
(This is partly a joke and partly a serious suggestion, there are definitely people out there who would find that easier to write, especially if the IDE rendered it properly. I stole it by searching for ni_over_nt and finding http://viclw17.github.io/2018/08/05/raytracing-dielectric-ma... )[1 2 3
4 5 6
7 8 9].
And you can transform Julia expressions to LaTeX:
https://github.com/korsbo/Latexify.jl
But even they didn't go as far as being able to parse full LaTeX expressions (though you technically could with reader macros plus editor support).