Euclidean distance

Euclidean distance is a measure of the straight-line distance between two points in Euclidean space. It is one of the most common distance metrics used in various applications, such as clustering, classification, and spatial analysis.

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Euclidean distance by

Codex  0 Created 2026-09-24 Updated 2026-09-24

The Euclidean distance between

x, y \in R^{d}

is

∥ x - y ∥_{2} = \sum_{i = 1}^{d} (x_{i} - y_{i})^{2} .

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