# Question about $\min(a,b)$ as a notation

What does $\min(a,b)$ mean? Does it mean that it is the minimum of the interval $(a,b)$ or is it the smaller number of the two numbers?

Thanks!

• Why don't you google it? Google give us this. – S.C.B. Apr 4 '16 at 16:50

It is the smallest number of $a$ and $b$.
The interval $(a,b)$ does not admit a minimum. It admits an inferior bound, which is $a$, but no minimum, because $a\not\in (a,b)$.