So I'm writing a research paper. It's a computer science paper and I have written the following expression for calculating the average similarity of a set of images: \begin{equation} \alpha(X) = \sum_{\{x_1,x_2\} \in [X]^2} \frac{f(x_1,x_2)}{\vert[X]^2\vert} \end{equation}
where $\alpha(X)$ iterates through all pairs within set of images $X$, and $f(x_1,x_2)$ is a measure of similarity between the pairs.
I'm trying to demonstrate that $f(x_1,x_2)$ can be either a computational measure of similarity (using some computer vision technique for example), or a human inputted one.
Would it be appropriate to demonstrate this with the following notation \begin{align} \alpha(X,f) &= \sum_{\{x_1,x_2\} \in [X]^2} \frac{f(x_1,x_2)}{\vert[X]^2\vert} \\ \end{align}
so that when I refer to the computational or human version I can write $\alpha(X,f^\mathit{comp})$ or $\alpha(X,f^\mathit{hum})$ respectively?