On Wed, 09 Feb 2011 20:14:19 -0500, Igor Tandetnik <itandet...@mvps.org> wrote:
> On 2/9/2011 7:29 PM, Samuel Adam wrote: […snip garbage…] > > It seems (1, 2) and (2, 1) would result in distinct xk values, thus > defeating the point of the exercise. It is again possible to insert two > pairs that differ only in order. You are right. I’ve now devised two different back-of-the-envelope proofs that I was trying to achieve the mathematically impossible. (Now watch this: For strike three, somebody will show that it is not only possible, but trivial.) Incidentally, I believe I just provided an unintentional object lesson in the merit of being just a bit formal sometimes. What I was trying to do (which may or may not have been obvious to Mr. Tandetnik, et al.) is to find k = F(x, y) = F′(y, x) such that k would retain the information of whether F or F′ was used. Q.E.D. (and affix palm to forehead). On the bright side, this bungling on my part led me into an interesting general problem with sets and permutations. That’s not topical, however, as I have already showed for Mr. Black’s purpose that extra information cannot be stored in k without breaking the equality. Plus as I’ve said before[1] and yesterday quite well demonstrated, I am bad at math. Very truly, Samuel Adam ◊ <http://certifound.com/> 763 Montgomery Road ◊ Hillsborough, NJ 08844-1304 ◊ United States Legal advice from a non-lawyer: “If you are sued, don’t do what the Supreme Court of New Jersey, its agents, and its officers did.” http://www.youtube.com/watch?v=iT2hEwBfU1g [1] http://www.mail-archive.com/sqlite-users@sqlite.org/msg56438.html _______________________________________________ sqlite-users mailing list sqlite-users@sqlite.org http://sqlite.org:8080/cgi-bin/mailman/listinfo/sqlite-users