Algebraic notation - how to represent optional parameter in a function?

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So for the academic paper I'm writing, I'm wondering if there is a specific notation for optional parameters in a general function equation.

equation without optional parameter

equation with optional parameter

These equations relate to Python v3.7 implementations where optional parameters are permitted.

(Not sure if this belongs in the correct exchange domain)

-- EDIT --

A number of fitness value functions will be assessed on their ability to output desirable solutions against the requirements for arbitrary parameters in addition to the sample configuration model. All fitness functions follow the below format:

$$ fitV_j = f\left(\vec x_j, opt_1, ..., opt_n\right) ; n \ge 0 ; n \lt 10 ; n \in \mathbb{Z} $$