--- ais/ai-00156.txt 2000/08/01 05:39:34 1.8 +++ ais/ai-00156.txt 2000/08/01 21:39:37 1.9 @@ -48,13 +48,13 @@ Here is a proof by example that the given method is incorrect: -Assume that the method described in the standard is correct. Let a -complex number X = 0+I. Let an integer n = -1. Then +Assume that the method described in the standard is correct. -X**n = 1/i = -i +Let a complex number X = i and let an integer n = -1. -argument(X) = pi/2 and n is negative. So, according to G.1.1(55), -argument(X**n) = (pi/2)/|-1| = pi/2, +Then X**n = 1/i = -i, argument(X) = pi/2 and n is negative. + +So, according to G.1.1(55), argument(X**n) = (pi/2)/|-1| = pi/2, but argument(X**n) = argument(-i) = -pi/2 Obviously, pi/2 is not equal to -pi/2 (even as an angle); i.e. a

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