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Norm
function calculates several different types of vector
norms for x
, depending on the argument p
.Norm(x, p = 2)
Inf
), or NA
if an element of x
is NA
.Norm
returns a scalar that gives some measure of the magnitude
of the elements of x
. It is called the $p$-norm for values
$-Inf \le p \le Inf$, defining Hilbert spaces on $R^n$. Norm(x)
is the Euclidean length of a vecor x
; same as
Norm(x, 2)
.
Norm(x, p)
for finite p is defined as sum(abs(A)^p)^(1/p)
.
Norm(x, Inf)
returns max(abs(x))
,
while Norm(x, -Inf)
returns min(abs(x))
.
norm
of a matrixNorm(c(3, 4)) #=> 5 Pythagoras triple
Norm(c(1, 1, 1), p=2) # sqrt(3)
Norm(1:10, p = 1) # sum(1:10)
Norm(1:10, p = 0) # Inf
Norm(1:10, p = Inf) # max(1:10)
Norm(1:10, p = -Inf) # min(1:10)
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