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Re: Is it a bug?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg17570] Re: Is it a bug?
  • From: "Allan Hayes" <hay at haystack.demon.co.uk>
  • Date: Mon, 17 May 1999 02:14:25 -0400
  • References: <7hgdfs$4bu@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

F. Mittermayr <mitterma at linz.vai.co.at> wrote in message
news:7hgdfs$4bu at smc.vnet.net...
> A = {1 + Sqrt[2] I , 1 + 2 * 3 I};
> Cases[A, _Complex]
>
> Out[1] = {1+6 I}
>
> Isn't it a strange result?
>

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

The reason is that Cases is lookin for members of the list that are of the
*form*

        Complex[ x, y]      (*check its FullForm*)

but 1 + Sqrt[2] I  is of the form  1 + Sqrt[2] Complex[0,1]

To get the kind of behaviour that you are seeking we can use expressions
like

Cases[A, x_/;Not[FreeQ[x,Complex]]]
{1 + I*Sqrt[2], 1 + 6*I}

Cases[A, x_/;Not[Chop[FreeQ[x,Complex]]]]
{1 + I*Sqrt[2], 1 + 6*I}

(the Chop is to get rid of accidental small maginary numbers)


Allan

---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565




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