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 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.

### Value

The Minkowski distance between `x`

and `y`

.

[Package

*abdiv*version 0.2.0 Index]