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Suppose I have an unordered set $U = \{u_1, u_2, u_3, ..., u_n\}$. What is the right notation for the $k$ $u_i \in U$ that maximizes $f: U \rightarrow \mathbb{R}$? I use this notation when $k=1$:

$$ \textrm{argmax}_{u_i \in U} f(u_i)$$

Daniel
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  • Some people use $\text{argmax}$ to denote the set of all maximizers. So sometimes you see set notation like $u \in \text{argmax}_{u_i \in U} f(u_i)$. – angryavian Aug 15 '16 at 22:35

1 Answers1

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How about $f^{-1}(\max(\mathrm{ran}(f))?$

Rob Arthan
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