RICKJJ59W
Posts: 3670
Joined: 3/8/2007 From: Lehigh Valley US of A Status: offline
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All I can say to you wilkie is.........your smokinnnnnnnnnnnn Thats the number 5,but I didn't pick it because of the bell tolls. I picked it because 5 is a Bell number in the number world The number of ways a set of elements can be partitioned into nonempty subsets is called a Bell number and is denoted (not to be confused with the Bernoulli number, which is also commonly denoted ). For example, there are five ways the numbers can be partitioned: , , , , and , so . (The explicit set partitions on can be enumerated using SetPartitions[n] in the Mathematica package Combinatorica` (which can be loaded with the command <<Combinatorica`) .) Bell Numbers mathworld.wolfram.com/BellNumber... 1, 1, 2, 5, 15, 52, 203, 877, 4140, 21147, 115975, 678570, 4213597, 27644437, 190899322, 1382958545, 10480142147, 82864869804, 682076806159, 5832742205057, 51724158235372, 474869816156751, 4506715738447323 my brain hurts just looking at that
< Message edited by RICKJJ59W -- 8/29/2008 4:52:41 PM >
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My Web Page.Lots of pix. Dig story's published in Antique Bottle & Glass Collector. New story added 9/08 www.19thcenturybottlediggers.com Digs in action. http://www.flickr.com/photos/pitpirate/
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