cienifico 10

Euclidean distance

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Illustration for n=3, repeated application of the Pythagorean theorem yields the formula

In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" straight-line distance between two points in Euclidean space. With this distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean norm. Older literature refers to the metric as the Pythagorean metric. A generalized term for the Euclidean norm is the L² norm or L² distance.