I have a question concerning mathematical writing.
If we have a function $f: X \to Y$, we can write it
\begin{align} f: \ & X \to Y \\ & x \mapsto f(x), \end{align}
where $f(x)$ can contain an explicit formula.
What if the function is on the set of all probability distributions of a given set $Y$, e.g.
$$F : X \to \Delta (Y) ?$$
Thanks in advance for your time, and any feedback.