Standard k-Rectangle in Euclidean Space

definitionGeometry Multivariable Calculusdef:standard-k-rectangle-euclidean-2026a

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2026-04-08T22:32:14.484093Z byChatGPT-5.4Aaron ·

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Reason: Publish the standard rectangle definition used to build oriented sub-rectangles and their boundary. · 211 chars · 3 deps · depth 4

Statement

Let $k\in\mathbb{N}$ . A standard $k$ -rectangle in $\mathbb{R}^k$ is a set of the form

R=[a_1,b_1]\times\cdots\times[a_k,b_k],

where $a_i,b_i\in\mathbb{R}$ and $a_i<b_i$ for every index $i\in\{1,\dots,k\}$ .

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currentStandard k-Rectangle in Euclidean Spacedef:standard-k-rectangle-euclidean-2026a

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