Euclidean distance

English

Alternative forms

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Noun

1. Template:Lb 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_x, a_y) and b = (b_x, b_y) is defined as:
   $d(\mathbf{\text{a}},\mathbf{\text{b}})=\sqrt{({\mathbf{\text{a}}}_x-{\mathbf{\text{b}}}_x{)}^2+({\mathbf{\text{a}}}_y-{\mathbf{\text{b}}}_y{)}^2}$

Synonyms

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