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Definition 2025

Euclidean_metric

Euclidean metric

English

Noun

Euclidean metric ‎(plural Euclidean metrics)

(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 ${\vec {y}}=(y_{1},...,y_{n})$ .

Translations

(analysis) the metric that defines the "ordinary" distance between two points

Czech: Euklidovská metrika f

Russian: евкли́дова ме́трика f ‎(jevklídova métrika), евкли́дова диста́нция f ‎(jevklídova distáncija)