Definition:Euclidean Space/Rational
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Definition
Let $\Q^n$ be an $n$-dimensional vector space of rational numbers.
Let the Euclidean Metric $d$ be applied to $\Q^n$.
Then $\struct {\Q^n, d}$ is a (rational) Euclidean $n$-space.
Also see
- Results about Euclidean spaces can be found here.