Let $K = (k_1,k_2,k_3,...k_N)$ be a vector in $\mathbb{R}^N$, consider the region $S_K$ consisting of all vectors $L = (l_1,l_2,l_3,...l_N)$ such that, $|l_i| \le |k_i| \forall i \in \{1,2,3,...N\}$. My question is, given $K$, is there a name for the region $S_K$, used in standard literature? If so, any example reference would be appreciated.
2026-04-13 15:41:19.1776094879
A question on the rectangular region defined for a vector in $\mathbb{R}^N$
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An $N$-dimensional rectangular cuboid, or orthotope, or hyperrectangle...