TITLE: Notation: is there a symbol for "not a function of"?
QUESTION [6 upvotes]: For example, let's say a term $A(x,y)$, a function of two random variables $x$ and $y$, is the argument of an expectation over $y$. The resulting term is no longer a function of $y$. Is there a mathematical symbol that explicitly says this?
I know there are workarounds--in this arbitrary case, bar notation and dropping $y$ from the parentheses--but I'm wondering if there's a more concise and explicit way to write this. I have nothing against doing it in words instead of symbols; I'm just curious.

REPLY [6 votes]: You want to express that the function is independent of a certain $y$, so it doesn't change when $y$ changes. I think, in your case derivative would be useful to state this independence:
$\frac{\partial A}{\partial y} = 0$