scipy.spatial.distance.euclidean¶
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scipy.spatial.distance.euclidean(u, v, w=None)[source]¶ 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
- euclideandouble
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