__builtin_cpow((0,0),(0,0))

Ronny Peine RonnyPeine@gmx.de
Tue Mar 8 00:47:00 GMT 2005


Hi again,

a small proof.

if A and X are real numbers and A>0 then

A^X := exp(X*ln(A)) (Definition in analytical mathematics).

0^0 = lim A->0, A>0 (exp(0*ln(A)) = 1 if exp(X*ln(A)) is continual continued

The complex case can be derived from this (0^(0+ib) = 0^0*0^ib = 1 = 
0^a*0^(i*0) ).
Well, i know only the german mathematical expressions, so maybe the 
translations to english are not accurate, sorry for this :)

cu, Ronny



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