I noticed this term on this post.
But the term arg inf is not clearly defined.
It refers to the argument of the function such that the function attains its infimum (or minimum). For example, let $f(x) = x^2-x$. Then $\arg\inf f(x) = {1\over 2}$ because $f(x)$ attains its minimum at $x= {1\over 2}$.
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It refers to the argument of the function such that the function attains its infimum (or minimum). For example, let $f(x) = x^2-x$. Then $\arg\inf f(x) = {1\over 2}$ because $f(x)$ attains its minimum at $x= {1\over 2}$.