notation for postive values only of a variable?

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Is there a to express certain values of a variable?

For instance, suppose $s \in \mathbb{Z}$, but there is an instance in which you are interested only in $s > 0$. I suppose you could write $s^+$, but I was wondering if there is a convention to follow.

EDIT. Sorry for the confusion. I have the following in mind. Consider a regression

$$y = \alpha + \beta s + \varepsilon$$

where $s \in \mathbb{Z}$. Now suppose we want to regress just on the values $s > 0$. I express this in writing, but I wanted to also distinguish this in the formula, like:

$$y = \alpha + \beta s^+ + \varepsilon$$

so the reader is reminded.