Dear Søren,
More thoughts:
The idea of this routine is that it integrates existing data in its most
ususal form. That is, it does not need a function to call, and, since, for
better or for worse, most data comes on a domain of equally sized steps,
this is what it uses. This is an attempt to make it compatable whith most
experimantal data, and the outputs of other routines, e.g. sales by week,
Fourie analysed amplitudes by frequency, actuarial data by age, etc. The
patrial interval integrals, including cumulative, can be achieved by looping
or otherwise manipulating the endpoint values.
The best way to see its worth is to compare it to the available routine
for existing data, by editing the "integrator_verifier" to use the "trapz"
routine. The latter is only of first order, and even for as many as 500
points on [0,1] yields a 2.01e-6 relative error for the next higher order,
the second. For higher orders higher than second it is even more useless.
There probably should a caution appended to the instructions about this.
The problem with a copyright in the U.S. (it is different in many other
places) is that if you do not want to spend the money to register and fight
a challange, you may end up with a legal record of having lost a copyright
infringement suit. The government here does not proctively protect
copyright claims, even if registered.
With respect to the name, perhaps integratores for "integrator, even
steps", or some such thing, would be more suitable. I note that the names
in the integration package go by internal workings insted of giving a clue
as to what they are for.
What is the name of the "ø" character? I have asked all my second
generation Dansk relatives, but they do not know for some reason.
dmelliott
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