minkowski {abdiv} | R Documentation |
Minkowski distance
Description
The Minkowski metric is a generalized form of Euclidean (p=2) and Manhattan (p=1) distance.
Usage
minkowski(x, y, p = 1)
Arguments
x , y |
Numeric vectors. |
p |
Exponent parameter, a single number greater than zero. |
Details
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 withmethod = "minkowski"
.Equivalent to the
minkowski()
function inscipy.spatial.distance
.Equivalent to
D_6
in Legendre & Legendre.
The default value of p = 1
makes this distance equal to the Manhattan
distance.
Value
The Minkowski distance between x
and y
.
[Package abdiv version 0.2.0 Index]