Module « scipy.spatial.distance »

Fonction minkowski - module scipy.spatial.distance

Signature de la fonction minkowski

def minkowski(u, v, p=2, w=None) 

Description

minkowski.__doc__

    Compute the Minkowski distance between two 1-D arrays.

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

    .. math::

       {||u-v||}_p = (\sum{|u_i - v_i|^p})^{1/p}.


       \left(\sum{w_i(|(u_i - v_i)|^p)}\right)^{1/p}.

    Parameters
    ----------
    u : (N,) array_like
        Input array.
    v : (N,) array_like
        Input array.
    p : scalar
        The order of the norm of the difference :math:`{||u-v||}_p`.
    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
    -------
    minkowski : double
        The Minkowski distance between vectors `u` and `v`.

    Examples
    --------
    >>> from scipy.spatial import distance
    >>> distance.minkowski([1, 0, 0], [0, 1, 0], 1)
    2.0
    >>> distance.minkowski([1, 0, 0], [0, 1, 0], 2)
    1.4142135623730951
    >>> distance.minkowski([1, 0, 0], [0, 1, 0], 3)
    1.2599210498948732
    >>> distance.minkowski([1, 1, 0], [0, 1, 0], 1)
    1.0
    >>> distance.minkowski([1, 1, 0], [0, 1, 0], 2)
    1.0
    >>> distance.minkowski([1, 1, 0], [0, 1, 0], 3)
    1.0