I want to express that the maximum of a set is returned. Each element $m_{i}$ of the set is the measure of a physical value (mass). The number of elements in the set is limited and comprise the range $[1,N]$.
$$ y = \max( m_{i}) \quad \forall i\{i\in \mathbb N^{*} | 1 \leq i \leq N \} \\
y = \max( m_{1}, \dotsc, m_{i}, \dotsc, m_{N}) \quad i\in \mathbb N^{*} $$
My question is, if both notations are equal?
Best Answer
The second one is less confusing, but the following is even simpler: $$y=\max_{1\le i \le N} m_i$$ Or: $$y=\max_{i \in\{1,\dots,N\}}m_i$$