NERD MUST KNOW: Minkowski Family

Minkowski family got its' application in many computer science areas as well as statistics, applied mathematics and quantitative sciences. It is easy to understand Minkowski and how it can be applied as one of the common dissimilarity, distance measures.




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.