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To give similar examples for what I'm looking for.

absolute value: abs(x) is notated as |x|

round to lower integer: floor(x) is notated as [tex]\lfloor x \rfloor[/tex]

round to upper integer: ceil(x) is notated as [tex]\lceil x \rceil[/tex]

Lately, I've been using min and max often and it would be nice to have a shorthand notation. I could make up my own, but I don't want to use a notation that isn't an accepted standard. So far, my searching indicates that I'm stuck with min and max, but I figured this forum would be a good place to see if anybody is aware of any obscure notation that would be acceptable to mathematicians.