Minkowski distance
The Minkowski metric is a generalized form of Euclidean (p=2) and Manhattan (p=1) distance.
minkowski(x, y, p = 1)
x, y |
Numeric vectors. |
p |
Exponent parameter, a single number greater than zero. |
For vectors x and y, the Minkowski distance is defined as
d(x, y) = ≤ft( ∑_i |x_i - y_i|^p \right)^{1/p}.
Relation to other definitions:
Equivalent to R's built-in dist() function with
method = "minkowski".
Equivalent to the minkowski() function in
scipy.spatial.distance.
Equivalent to D_6 in Legendre & Legendre.
The default value of p = 1 makes this distance equal to the Manhattan
distance.
The Minkowski distance between x and y.
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