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Re: More Fun with Zero!

by Anonymous Monk
on Jul 24, 2001 at 21:52 UTC ( #99428=note: print w/replies, xml ) Need Help??

in reply to More Fun with Zero!

The correct answer is 1 and it is by definition! Power is in fact a subcase of what is call the gama function and in this more global definition you must have Gamma(0,0)=1

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Re: Re: More Fun with Zero!
by hding (Chaplain) on Jul 25, 2001 at 00:54 UTC

    You may be confused. The gamma function is unrelated to the function x^y. Perhaps you are thinking of the relationship Gamma(n+1) = n! for non-negative integers n. Moreover, Gamma(0) is undefined (as is, more generally, Gamma(n) for non-positive integers n).

    (For those who are curious, the gamma function is most easily defined as the Gamma(x) = integral from 0 to infinity of e^(-t) * t ^ (x-1) dt. Google can pretty easily be convinced to take you to more information about it. But it's pretty much unrelated to the topic at hand.)

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