Hi Lee, its always a pleasure to read you! Here is the French equivalent of ELEVEN +... ... which has far less elegance: http://www.cetteadressecomportecinquantesignes.com/Eleven.htm This was found years ago by a guy who shared my body for a long time... Melvin O. is quoted at the bottom of the page... Souvenirs, souvenirs... Best, É. Propulsé d'un aPhone Le 21 avr. 2013 à 17:48, "Lee Sallows" <Lee.Sal@inter.nl.net> a écrit :
Related to this topic are some finds I made when exploring a system that interprets words (or letter strings) as numbers written in a positional notation using base 27. As usual, A=1, B=2, etc., with zero represented by an underscore. Hence CAT = 3*27^2 + 1*27^1 + 20*27^0 = 2234.
The finds I refer to are congruences that are true on two levels:
(FORTYTWO + FORTYNINE mod SIX <-> ONE and (42+49) mod 6 <-> 1, (EIGHTYFIVE - EIGHTYTWO) mod TWO <-> ONE and (85-82) mod 2 <-> 1, (NINETYNINE - TWELVE) mod FIVE <-> TWO and (99-12) mod 5 <-> 2.
Of course, equations would be far preferable to congruences, if such could be found. Anyone like to try?
Lee
At 05:14 PM 4/21/2013, you wrote:
On 4/21/2013 9:50 AM, Keith F. Lynch wrote:
Allan Wechsler <acwacw@gmail.com> wrote:
Dan Asimov <dasimov@earthlink.net> wrote:
ELEVEN + TWO = TWELVE + ONE
Dan, this is just an anagram, right? Unless I'm missing something truly devilish, it's arithmetically impossible.
I've confirmed that there is no solution. Since there are only seven distinct letters, I also tried base 7. Then all bases through 40. Still no solution. (Larger bases are very slow to test.)
There is no solution in any base. The matching Es in the 1000s place are the trouble: The difference between ELE000 and TWE000 is a nonzero multiple of 10000, but it is also |VEN + TWO - LVE - ONE|, which is less than 2000.
-- Fred W. Helenius fredh@ix.netcom.com
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun