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humps(x)
sinc(x)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 $1$.
plot(humps(), type="l"); grid()
x <- seq(0, 10, length=101)
plot(x, sinc(x), type="l"); grid()Run the code above in your browser using DataLab