This effect, however, is also present in any other algorithm based on Euclidean distance.

Common definitions make use of the Euclidean distance in a device independent color space.

This improved the clustering accuracy when Euclidean distance was used.

If two points are on the same ray in the plane, their distance is defined as the Euclidean distance.

The power diagram is defined when weights are added to the squared Euclidean distance.

The Euclidean distance between locations often represents their proximity, although this is only one possibility.

Still, high similarity between p and m is indicated by a small Euclidean distance.

The Euclidean distance between the two points is its magnitude.

For instance, it is possible to replace Euclidean distance by the value of a quadratic form.

The norm is usually Euclidean distance, although other distance functions are also possible.