--- ais/ai-00156.txt 2000/06/20 04:22:43 1.6 +++ ais/ai-00156.txt 2000/07/13 04:31:29 1.7 @@ -24,7 +24,7 @@ !question G.1.1(55) gives the following method for doing complex exponentiation -in polar form in G.1.1(55): +in polar form: ... exponentiating the modulus by the given exponent; multiplying the argument by the given exponent, when the exponent is positive, @@ -48,8 +48,8 @@ Here is a proof by example that the given method is incorrect: -Assume that the RM95 method is correct. Let a complex number X=0+I. Let an -integer n=-1 +Assume that the method described in the standard is correct. Let a +complex number X=0+I. Let an integer n=-1 X**n=1/i=-i @@ -58,7 +58,8 @@ but, argument(X**n)=argument(-i)=-pi/2 -pi/2 /= -pi/2 (even as an angle) i.e. a contradiction has been found. +Obviously, pi/2 is not equal to -pi/2 (even as an angle); i.e. a +contradiction has been found. No zero-valued complex numbers were involved (they can mess things up). The only dubious assumption made was that the method described in G.1.1(55) was correct. So, it must not be.

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