Euclidean metric

noun

In the space ℝⁿ, the metric d(⃑x,⃑y)=√((x_1-y_1)²+(x_2-y_2)²+...+(x_n-y_n)²) where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).

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Meanings

nounEuclidean metric (plural Euclidean metrics)

plural Euclidean metrics

  1. mathematical analysisIn the space ℝⁿ, the metric d(⃑x,⃑y)=√((x_1-y_1)²+(x_2-y_2)²+...+(x_n-y_n)²) where ⃑x=(x_1,...,x_n) and ⃑y=(y_1,...,y_n).

Translations

Czech Euklidovská metrika
  • Euklidovská metrika(analysis) the metric that defines the "ordinary" distance between two points
Russian евкли́дова ме́трика, евкли́дова диста́нция
  • евкли́дова ме́трика (jevklídova métrika)(analysis) the metric that defines the "ordinary" distance between two points
  • евкли́дова диста́нция (jevklídova distáncija)(analysis) the metric that defines the "ordinary" distance between two points
Cite this entry
APA

Euclidean metric. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Euclidean%20metric

MLA

“Euclidean metric.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Euclidean%20metric. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Euclidean metric,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Euclidean%20metric.

Source: Euclidean metric on Wiktionary, CC BY-SA 4.0.