This means that $J(\alpha)$ is is the minimum value obtained of the expression $J(\alpha,a,b)$ after plugging in all values of $a$ and $b$ possible.
– VizagJun 03 '19 at 18:51
1
It is the minimal value of $J(\alpha, a, b)$ where $\alpha$ is chosen beforehand and then we look at the values for all pairs $(a,b)$ and pick the minimal value
– B.SwanJun 03 '19 at 18:51