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The value p in the formula can be substituted with different value, thus yielding different "family member" of the Minkowski family.
Nerd Question:
Do you know that the name of the distance measure when p is 1, 2, and infinite respectively?
Also, the global effect of each of the attribute involve in the formula can be fine tuned using attribute weight. Weight values usually ranged between 0 and 1 inclusive to make possible global normalization.
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