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