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Re: Difficulties with Re

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98325] Re: [mg98349] Difficulties with Re
  • From: Bob Hanlon <hanlonr at cox.net>
  • Date: Wed, 8 Apr 2009 02:43:08 -0400 (EDT)
  • Reply-to: hanlonr at cox.net

Assuming[Element[{x, y}, Reals], Re[Exp[x + I y]] // Simplify]

E^x*Cos[y]

Assuming[Element[{x, y}, Reals], 
 Re[ComplexExpand[Exp[(x + I y)^2]]] // Simplify]

E^(x^2 - y^2)*Cos[2*x*y]


Bob Hanlon

---- Aaron Fude <aaronfude at gmail.com> wrote: 

=============
Hi,

Of the following two expressions, the first "works", while the second
doesn't. How does one make it work?

Assuming[x > 0 && y > 0, Re[Exp[x + I y]] // Simplify]
Assuming[x > 0 && y > 0, Re[Exp[(x + I y)^2]] // Simplify]

Many thanks in advance,

Aaron




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