search for: trapezium

Hello everyone, I have been trying to figure out away to integrate under a spline produced by the package tps(fields). As the package does not output functions I am trying to do something similar to the trapezium rule. My data are 3D (x, y & z). I have extracted from the surface output by Tps the values of z at regular intervals so that I have a grid of figures, for example: 1 4 6 6 8 8 3 2 7 7 2 3 4 9 7 1 2 5 6 7 0 1 4 5 6 I was wondering what the best method for working out the...

...would be if they were on the search path. -The example below shows a naive way of performing one dimensional +The example below shows a naive way of performing one-dimensional numerical integration. The integrand is evaluated at the end points of the range and in the middle. If the one-panel trapezium rule answer is close enough to the two panel, then the latter is returned as the value. ====================================================================== [-plots,-] {+plots+} ====================================================================== --- R-intro.texi~ Mon Aug 23 13:23:55 2004 ++...