# Symbols:R/Real Euclidean Space

## Real Euclidean Space

$\R^n$

Let $\R^n$ be an $n$-dimensional real vector space.

Let the Euclidean metric $d$ be applied to $\R^n$.

Then $\struct {\R^n, d}$ is a Euclidean $n$-space.

The $\LaTeX$ code for $\R^n$ is \R^n .

The $\LaTeX$ code for $\struct {\R^n, d}$ is \struct {\R^n, d} .