Dear Alex thanks
the most amazing thing , all this worked after the odd typo correction on my oldish smartphone, most impressive not that i know what i am doing, yet the unique idx did not work, but that is your library thing at the present i am more interested in learning to do series loops of sums or products, definite integrals, and such thanks!! dick ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
