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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)

REQUIRED ARGUMENTS

u
first vector of numbers
v
second vector of numbers

OPTIONAL ARGUMENTS

None.

VALUE

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

SIDE EFFECTS

None.

DETAILS

Function simply computes the L2 distance between two vectors and is implemented as
sqrt(sum((u-v)^2))

RELEASE

Version 3.6 Copyright Guy Nason 1995

SEE ALSO

linfnorm, wstCV, wstCVl.

BUGS

This function would probably be more accurate if it used the Splus function vecnorm.

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