If $x_t=O(1)$ for each $t=1,...,T$, then what is the order of $\max_t x_t$ or $\sup_t x_t$? Is it $O(T)$, $O(\sqrt{T})$ or $O(1)$?
2026-04-14 01:39:46.1776130786
The order of $\max_t x_t$
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