Dean, I like your proof illustration. Wonderful. *-- Russ Abbott* *_____________________________________________* *** Professor, Computer Science* * California State University, Los Angeles*
* My paper on how the Fed can fix the economy: ssrn.com/abstract=1977688* * Google voice: 747-*999-5105 Google+: plus.google.com/114865618166480775623/ * vita: *sites.google.com/site/russabbott/ CS Wiki <http://cs.calstatela.edu/wiki/> and the courses I teach *_____________________________________________* On Mon, Oct 8, 2012 at 10:13 AM, Frank Wimberly <[email protected]>wrote: > Number = a*10 + b > Rearranged = b*10 + a > > Difference = (b - a)*10 + (a - b) = 9*(b - a) > > > > Frank C. Wimberly > 140 Calle Ojo Feliz > Santa Fe, NM 87505 > > [email protected] [email protected] > Phone: (505) 995-8715 Cell: (505) 670-9918 > > > -----Original Message----- > From: [email protected] [mailto:[email protected]] On > Behalf > Of Robert J. Cordingley > Sent: Monday, October 08, 2012 10:21 AM > To: The Friday Morning Applied Complexity Coffee Group > Subject: [FRIAM] Nines: Trivia Question? > > I probably should know this... > > So when you rearrange the digits of a number (>9) and take the difference, > it is divisible by nine. A result that sometimes points to accounting > errors. If the numbers are not base 10 the result is divisible by > (base-1). > > What is the associated theorem for this? > > Thanks > Robert > > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, > unsubscribe, maps at http://www.friam.org > > > > ============================================================ > FRIAM Applied Complexity Group listserv > Meets Fridays 9a-11:30 at cafe at St. John's College > lectures, archives, unsubscribe, maps at http://www.friam.org >
============================================================ FRIAM Applied Complexity Group listserv Meets Fridays 9a-11:30 at cafe at St. John's College lectures, archives, unsubscribe, maps at http://www.friam.org
