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MathGroup Archive 1995

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Re: (-1)^(3/4) -> (-1+I)/Sqrt[2]

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg566] Re: [mg557] (-1)^(3/4) -> (-1+I)/Sqrt[2]
  • From: bob at zim.uoregon.edu (Robert Zimmerman)
  • Date: Sat, 18 Mar 95 15:48:03 -0800

Question

Does anybody know a core or standard package command that makes  
transformations like  (-1)^(3/4) -> (-1+I)/Sqrt[2] ?  I would be  
happy with a method that works as well as, say,

One possible solution,
rule=(- 1)^p_:> (Cos[ p Pi]+I Sin[p Pi] )
 test = (- 1 )^(3/4)
   test /.rule 


 

(-1)^(p_) :> Cos[p*Pi] + I*Sin[p*Pi]
(-1)^(3/4)
(-1 + I)/2^(1/2)

Robert L. Zimmerman
Institute of Theoretical Science
University of Oregon
Eugene Oregon 97403



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