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Euclidean space
Definition
$ n\in \mathbb N $ |
$\mathbb E^n \equiv \langle d,\mathbb R^n\rangle $ |
$d:\mathbb R^n\times \mathbb R^n\to \mathbb R_+ $ |
$d(x,y):=\left( \sum_{j=1}^n (x_j-y_j)^2 \right)^\frac{1}{2} $ |
Discussion
Reference
Wikipedia: Euclidean space