LSAfun (version 0.5.3)

normalize: Normalize a vector

Description

Normalizes a character vector to a unit vector

Usage

normalize(x)

Arguments

x

a numeric or integer vector

Value

The normalized vector as a numeric

Details

The (euclidean) norm of a vector $x$ is defined as

$$||x||=\sqrt{\mathrm{\Sigma }(x^2)}$$

To normalize a vector to a unit vector $u$ with $||u||=1$, the following equation is applied:

$$x^{\prime }=x/||x||$$

Examples

# NOT RUN {
normalize(1:2)


## check vector norms:

x <- 1:2

sqrt(sum(x^2))              ## vector norm
sqrt(sum(normalize(x)^2))   ## norm = 1

# }