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MathGroup Archive 2007

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FullSimplify regress?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81416] FullSimplify regress?
  • From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
  • Date: Sat, 22 Sep 2007 03:31:52 -0400 (EDT)

In Mathematica 5.2:


FullSimplify[ComplexExpand[ArcTan[Cos[Arg[z w]-Arg[z]-
     Arg[w]],Sin[Arg[z w]-Arg[z]-Arg[w]]],{z,w},TargetFunctions-> 
{Re,Im}]]


0


In Mathematica 6.01:

FullSimplify[ComplexExpand[
      ArcTan[Cos[Arg[z*w] - Arg[z] - Arg[w]],
        Sin[Arg[z*w] - Arg[z] - Arg[w]]], {z, w},
      TargetFunctions -> {Re, Im}]]

  ArcTan[Cos[ArcTan[Re[w], Im[w]] + ArcTan[Re[z],
          Im[z]] - ArcTan[Re[w]*Re[z] - Im[w]*Im[z],
          Re[z*Im[w] + w*Im[z]]]],
    -Sin[ArcTan[Re[w], Im[w]] + ArcTan[Re[z], Im[z]] -
          ArcTan[Re[w]*Re[z] - Im[w]*Im[z],
            Re[z*Im[w] + w*Im[z]]]]]


This looks like a bit of a regress to me.

Andrzej Kozlowski


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