Euclidean metric

English

Noun

Euclidean metric (plural Euclidean metrics)

1. (mathematical 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
• (deprecated template usage) {{trans-mid}}
• Russian: евкли́дова ме́трика f (jevklídova métrika), евкли́дова диста́нция f (jevklídova distáncija)