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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

Parents

Subset of

Requirements

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