I guess this is a very basic question, but I want to get this right:
I have a result, e.g.,
$$c=\frac{1+r-546u\sqrt{h-8+7}}{b+3+f}.$$
Now I want to discuss the numerator and denominator separately in a paper in a 'correct' way. First, we inspect the numerator and check whether it is positive:
$$ f(r,u,h)=1+r-546u\sqrt{h-8+7}\ge0.$$
However, I am introducing this now as a function, which seems a little odd to me. Isn't there something more generic instead of $f(r,u,h)$?
Similarly, I might have a function with multiple terms and want to inspect the properties of these terms separately:
$$k=(1+r)^2-546u\sqrt{h-8+7}.$$
What is the best practice to refer to these terms?