humps {pracma} | R Documentation |
Matlab Test Functions
Description
Matlab test functions.
Usage
humps(x)
sinc(x)
psinc(x, n)
Arguments
x |
numeric scalar or vector. |
n |
positive integer. |
Details
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)}
.
Value
Numeric scalar or vector.
Examples
## Not run:
plot(humps(), type="l"); grid()
x <- seq(0, 10, length=101)
plot(x, sinc(x), type="l"); grid()
## End(Not run)
[Package pracma version 2.4.4 Index]