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Re: Is it a bug?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg17593] Re: [mg17548] Is it a bug?
  • From: BobHanlon at aol.com
  • Date: Mon, 17 May 1999 02:14:36 -0400
  • Sender: owner-wri-mathgroup at wolfram.com

In a message dated 5/14/99 9:15:27 AM, mitterma at linz.vai.co.at writes:

>A = {1 + Sqrt[2] I , 1 + 2 * 3 I};
>Cases[A, _Complex]
>
>Out[1] = {1+6 I}
>
>Isn't it a strange result?
>

No, it is not a strange result.  Merely, not what you expected.

A = {1 + Sqrt[2] I , 1 + 2 * 3 I};

FullForm[A]

List[Plus[1,Times[Complex[0,1],Power[2,Rational[1,2]]]],Complex[1,6]]

Note that the head of the first term is not Complex; consequently, asking for 
terms whose Head is Complex will not do what you want.

Cases[A, _Complex]

{1 + 6*I}

Nor would this test work:

Cases[A, a_ + I*b_]

{1 + I*Sqrt[2]}

The test for which you are apparently looking would be

Cases[A, _?(!FreeQ[#, Complex]&)]

{1 + I*Sqrt[2], 1 + 6*I}


Bob Hanlon


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