In
There is a notation of adding the symbol $!$ after $\max$ and $\min$
Some examples from the paper:
$$ \prod_{i=1}^n f(X_i) = \max_{f}! \hspace{0.5cm} \mbox{ such that } f \mbox{ is a log-concave density.} $$
$$ \frac{1}{n} \sum_{i=1}^n g(X_i) + \int \psi(g(x)) \mbox{dx} = \min_{g \in \mathcal{C}(X)}! \hspace{0.5cm} \mbox{subject to } g \in \mathcal{K}(X) $$
and one without any constraint:
$$ \frac{1}{n} \sum_{i=1}^n g(X_i) + \frac{1}{|\beta|} \int |g(x)|^\beta \mbox{dx} = \min_{g \in C(X)}! $$
What does that notation mean?
