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Re: THEOS-L digest 834

Jan 17, 1997 04:56 PM
by Dr. A.M.Bain


In message <32E00A5C.1F2B@TIW.COM>, Robert Word <WORD@tiw.com> writes
>Now Dr. Bain, I have a little problem for you.  Let us go back to real 
>numbers (and pi = 3.1415926...), and generalize the concept of "integer" 
>to mean the class of numbers of the form
>
>a + b*pi + c*(pi squared) + d*(pi cubed) + ... to a finite number of 
>terms, where each of a,b,c... are rational numbers.
>
>In this class of generalized integers, does the fundamental theorem of 
>arithmetic hold true?  If not, can you find an exception to the 
>fundamental theorem?  Please demonstrate by an example.

Listen, I only wondered! Didn't say I knew any answers!  Try the
hairless purple bunnies.

Alan
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