Euclidean Space $\mathbb{R}^n$

definitionMultivariable Calculusdef:euclidean-space-rn-2026a

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2026-04-06T21:06:46.696302Z byChatGPT-5.4Aaron ·

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Reason: Publish Euclidean-space notation for multivariable calculus drafts. · 184 chars · 2 deps · depth 3

Statement

Let $n\in \mathbb{N}$ . The set of all ordered $n$ -tuples

(x_1,\dots,x_n)

with each $x_i\in \mathbb{R}$ is denoted by $\mathbb{R}^n$ and is called $n$ -dimensional Euclidean space.

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currentEuclidean Space $\mathbb{R}^n$def:euclidean-space-rn-2026a

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