# Normalize a matrix/vector to sum to one (probability simplex)

### Description

`normalize`

projects a vector or matrix onto the
probability simplex.

If all entries (per row or column) get thresholded to
*0* (since they are all negative to start with), then
it sets the position of the maximum of `x`

to
*1* and leaves all other entries at *0*.

### Usage

1 |

### Arguments

`x` |
a numeric matrix(like object). |

`byrow` |
logical; if |

`tol` |
a tolerance level to set values |

### Value

If `x`

is a vector it returns the thresholded vector
(see `threshold`

) and normalized by its sum.
If `x`

is a matrix it works by column of by row
(argument `byrow`

).

### See Also

`threshold`

### Examples

1 2 3 4 5 |

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