## Definition Edit

Given a number set , the **Manhattan distance** is a function defined as

## Examples Edit

- .
- .

## Normalization Edit

If is a bounded set, is possible to normalize the difference dividing by the range of , then normalization is

that is the aritmetic mean of the normalized differences.

## Examples Edit

- If , .
- If , .

## Variations Edit

- Manhattan distance is a particular case of Minkowski distance when .
- If , whe have the Hamming similarity.

## Applications Edit

- Numeric vectors (codes).
- Vectors of boolean features.