RE: Bugs in Abs and Sign !?

• To: mathgroup at smc.vnet.net
• Subject: [mg25701] RE: [mg25674] Bugs in Abs and Sign !?
• From: "David Park" <djmp at earthlink.net>
• Date: Thu, 19 Oct 2000 04:35:27 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```Dear Jack,

I don't think it is a bug. You get that result because Mathematica
simplifies the expression before the rule is applied.

{Abs[x^2], Sign[x^2]}
{Abs[x]^2, Sign[x]^2}

{Abs[x^n], Sign[x^n]}
FullSimplify[%, n \[Element] Integers]
{Abs[x^n], Sign[x^n]}
{Abs[x]^n, Sign[x^n]}

David Park

> -----Original Message-----
> From: Jack Goldberg [mailto:jackgold at umich.edu]
To: mathgroup at smc.vnet.net
> Hi group.
>
> Try,
>
> Abs[x^2] /. Abs[u_] -> fnt[u]
>
> and
>
> Sign[x^2] /. Sign[u_] -> fnt[u]
>
> In each case I get  fnt[x]^2.  Shouldn't I get  fnt[x^2]? After all,
> g[x^2] /. g[u_] -> fnt[u]  returns fnt[x^2] which is what I have been led
> to expect from Mathematica.  I am using ver 4.01 on a PowerMac.
>
> These peculiarities are driving me crazy.  This is the fourth "bug" I have
> found in just 2 weeks.  Please tell me I'm wrong.
>
> Thanks guys.
>
> Jack

```

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