What is the right punctuation when introducing mathematical terms in a sentence?

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This is not a mathematical question as such, but more about the correct grammatical way to describe the mathematical terms that are being introduced in a sentence.

I am used to writing sentences in this way:

A deterministic policy, $\pi$, is a function, $\pi: S \rightarrow A$, that selects an action, $a \in A$, for a state, $s \in S$.

But a reviewer for one of my paper submissions came back with a comment that I use too many commas around my variables. I used to think that my way is the correct way, since there is a pause when introducing the respective mathematical term.

I have seen papers that use either my approach, or a single comma after the term, or no commas at all.

What is the correct grammatical way to introduce mathematical terms in these kinds of sentences?

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In English, appositives should generally be set off by commas: "Jack, my brother, stood six feet tall." rather than "Jack my brother stood six feet tall."

In mathematical writing, however, they're often omitted: "The indicator function $\chi_A$ for the set $A$ is defined as ..."

I personally don't like that choice, but your reviewer does. @Will Jagy has suggested a restructuring that may work in some situations if the lack of commas irritates you. And @Kurt G. has a good point: don't sweat the small stuff in reviews.