For nearest neighbor problems in d-dimensional real spaces,
, we use three popular Minkowski
distance metrics:
| ▪ | The Manhattan ( |
| ▪ | The Euclidean ( |
| ▪ | The Max ( |
A Minkowski distance metric,
, in a d-dimensional real space between two vectors,
and
, is defined as
Eq. (1)
On the limiting case,
, (
), Eq. (1) reduces to
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