wavethresh (version 4.6.1)

l2norm: Compute L2 distance between two vectors of numbers.

Description

Compute L2 distance between two vectors of numbers (square root of sum of squares of differences between two vectors).

Usage

l2norm(u,v)

Arguments

u

first vector of numbers

v

second vector of numbers

Value

• A real number which is the L2 distance between two vectors.

RELEASE

Version 3.6 Copyright Guy Nason 1995

Details

Function simply computes the L2 distance between two vectors and is implemented as

sqrt(sum((u-v)^2))

See Also

linfnorm, wstCV, wstCVl.

Examples

#
# What is the L2 norm between the following sets of vectors
#
p <- c(1,2,3,4,5)
q <- c(1,2,3,4,5)
r <- c(2,3,4,5,6)
l2norm(p,q)
# [1] 0
l2norm(q,r)
# [1] 2.236068
l2norm(r,p)
# [1] 2.236068