Minimum
$$\mathop{\min}\limits_{x \in S} f(x)$$
Minimum of the set $\left\{ f(x) : x \in S \right\}$. The result is $\operatorname{Undefined}$ if the set does not have a mimumum value.
$$\mathop{\min}\limits_{x \in S,\,P(x)} f(x)$$
Minimum of the set $\left\{ f(x) : x \in S \,\mathbin{\operatorname{and}}\, P(x) \right\}$.
Last updated: 2020-03-06 00:22:16