Let $u=(u_1,\cdots,u_n) \in \mathbb{R}^n$ then is $\min(u)$ a correct notation?

Question

Let $u=(u_1,\cdots,u_n) \in \mathbb{R}^n$ then is $\min(u)$ a correct notation for the quantity $\min(u_1,\cdots u_n)$? Is it normal to use such notation? For example if i write for a function $C^{+}$

$C^{+}(u)=\min(u) \forall u \in [0,1]^n$

is this the same as saying

$$C^{+}(u)=\min(u_1,u_2, \cdots,u_n)$$