Complete Definition of "Euclidean distance"

English
Alternative spellings
euclidean distance (US)
Noun
Euclidean distance (uncountable)
#geometry The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two-dimensional Euclidean geometry, the Euclidean distance between two points a (a<sub>x</sub>, a<sub>y</sub>) and b (b<sub>x</sub>, b<sub>y</sub>) is defined as:<br>
:<math>d(\textbf{a}, \textbf{b}) = \sqrt{(\textbf{a}_x - \textbf{b}_x)^2 + (\textbf{a}_y - \textbf{b}_y)^2}</math>

Synonyms
Cartesian distance

Translations
Italian: distanza euclidea f

id:Euclidean distance

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