Minkowski Distance of Order

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This is the generalized metric distance. When it becomes city block distance and when , it becomes Euclidean distance. Chebyshev distance is a special case of Minkowski distance with (taking a limit). This distance can be used for both ordinal and quantitative variables.

Formula

For example:

Point A has coordinate (0, 3, 4, 5) and point B has coordinate (7, 6, 3, -1).

The Minkowski Distance of order 3 between point A and B is

See also: Minkowski Mean

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Teknomo, Kardi. Similarity Measurement. http:\\people.revoledu.com\kardi\ tutorial\Similarity\