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BUILT-IN MATHEMATICA SYMBOL

NormalizedSquaredEuclideanDistance

gives the normalized squared Euclidean distance between vectors u and v.

NormalizedSquaredEuclideanDistance is equivalent to 1/2*Norm[(u-Mean[u])-(v-Mean[v])]^2/(Norm[u-Mean[u]]^2+Norm[v-Mean[v]]^2).

The normalized squared Euclidean distance between two vectors:

The normalized squared Euclidean distance between numeric vectors:

The normalized squared Euclidean distance between two vectors:

Out[1]=

The normalized squared Euclidean distance between numeric vectors:

Out[1]=

Compute the distance between any vectors of equal length:

Compute the distance between vectors of any precision:

Cluster data using normalized squared Euclidean distance:

Normalized squared Euclidean distance includes a squared Euclidean distance scaled by norms:

The normalized squared Euclidean distance of two vectors or real numbers is in the range from 0 to 1: