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Re: The # Operation
Posted:
Apr 22, 2005 11:53 AM


Frank J. Lhota <NOSPAM.Lhota.adarose@verizon.net> wrote: > "Marc Olschok" <sa796ol@l1hrz.uniduisburg.de> wrote in message > news:3cq077F6p2umuU1@news.dfncis.de... >> ... >> For 1 < U < 10 there seem to be only models with U=4 or U=9. >> However, I have no idea why this is so. > > Given that you have not solved the problem, I am amazed that you were able > to determine that the only values of U for which a # operator exists > within the range 1 < U < 10 was 4 and 9. Please post how you were able to > deduce this.
I threw the specification at mace2 which is part of otter (see <http://www.mcs.anl.gov/AR/otter/> for more).
Among other things it reported the 4element model you gave in a previous posting.
> > At any rate, this discovery does suggest a conjecture on the possible values > of U. The sequence of possible U values starts with > > 0, 1, 4, 9, ... > > One can easily guess the next number in this sequence.
Certainly. But right now I have no specific idea. Since x = (xx)(xx) for every x, it might help to investigate the possible choices for y and z such that x = (xx)(xx) = yz.
Marc



