minkowski {abdiv} | R Documentation |
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) = \left( \sum_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
.