       Re: Thread function now working as expected

• To: mathgroup at smc.vnet.net
• Subject: [mg74616] Re: Thread function now working as expected
• From: Jean-Marc Gulliet <jeanmarc.gulliet at gmail.com>
• Date: Wed, 28 Mar 2007 01:45:29 -0500 (EST)
• Organization: The Open University, Milton Keynes, UK
• References: <euan64\$do9\$1@smc.vnet.net>

```siewsk at bp.com wrote:
> I cannot get the Thread function to work on In and I
> am forced to do it manually in In
>
> Does anyone has any idea why In is not working as I expected?
>
> In:= eqn1 = Sqrt[1 + 196*x^4] == 12*x - 1 - 14*x^2
> Out=
>               4                     2
> Sqrt[1 + 196 x ] == -1 + 12 x - 14 x
>
>
> In:= eqn2 = Thread[(#1^2 & )[eqn1], Equal]
> Out=
>          4                     2 2
> 1 + 196 x  == (-1 + 12 x - 14 x )
>
>
> In:= dummy = Thread[Expand[eqn2], Equal]
> Out=
>          4                     2 2
> 1 + 196 x  == (-1 + 12 x - 14 x )
[snip]

Expand is evaluated before Thread is applied. Use a dummy head and a
transformation rule. For instance,

In:=
eqn1 = Sqrt[1 + 196*x^4] == 12*x - 1 - 14*x^2;
eqn2 = Thread[(#1^2 & )[eqn1], Equal];
dummy = Thread[ed[eqn2], Equal] /. ed -> Expand

Out=
4                    2        3        4
1 + 196 x  == 1 - 24 x + 172 x  - 336 x  + 196 x

Regards,
Jean-Marc

```

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