scipy.spatial.distance.euclidean

scipy.spatial.distance.euclidean(u, v, w=None)

Computes the Euclidean distance between two 1-D arrays.

The Euclidean distance between 1-D arrays u and v, is defined as

\[ \begin{align}\begin{aligned}{||u-v||}_2\\\left(\sum{(w_i |(u_i - v_i)|^2)}\right)^{1/2}\end{aligned}\end{align} \]

Parameters:

u : (N,) array_like

Input array.

v : (N,) array_like

Input array.

w : (N,) array_like, optional

The weights for each value in u and v. Default is None, which gives each value a weight of 1.0

Returns:

euclidean : double

The Euclidean distance between vectors u and v.

Examples

>>> from scipy.spatial import distance
>>> distance.euclidean([1, 0, 0], [0, 1, 0])
1.4142135623730951
>>> distance.euclidean([1, 1, 0], [0, 1, 0])
1.0