Euclidean metric

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English[edit]

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Noun[edit]

Euclidean metric (plural Euclidean metrics)

  1. (analysis) In the space \mathbb{R}^n, the metric  d(\vec x, \vec y) = \sqrt{(x_1 - y_1)^2 + (x_2 - y_2)^2 + ... + (x_n - y_n)^2} where  \vec x = (x_1, ..., x_n) and  \vec y = (y_1, ..., y_n).

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