humps | R Documentation |
Matlab test functions.
humps(x)
sinc(x)
psinc(x, n)
x |
numeric scalar or vector. |
n |
positive integer. |
humps
is a test function for finding zeros, for optimization
and integration. Its root is at x = 1.2995
, a (local) minimum
at x = 0.6370
, and the integral from 0.5
to 1.0
is 8.0715
.
sinc
is defined as sinc(t) = \frac{\sin(\pi t)}{\pi t}
.
It is the continuous inverse Fourier transform of the rectangular pulse
of width 2\pi
and height 1
.
psinc
is the 'periodic sinc function' and is defined as
psinc(x,n) = \frac{\sin(x n/2)}{n \sin(x/2)}
.
Numeric scalar or vector.
## Not run:
plot(humps(), type="l"); grid()
x <- seq(0, 10, length=101)
plot(x, sinc(x), type="l"); grid()
## End(Not run)
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