Re: Transformation rule problem

• To: mathgroup at smc.vnet.net
• Subject: [mg58085] Re: [mg58041] Transformation rule problem
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Fri, 17 Jun 2005 07:09:33 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

```expr=a^2 b^4+a^3 b+a^5+a^5 b;

expr/.a^m_.*b^n_.:>
(a^m*b^n*(d/a/b)^Min[m,n])

a^5 + d*a^4 + d*a^2 + b^2*d^2

Bob Hanlon

>
> From: Oliver Buerschaper <groo137vy at yahoo.co.uk>
To: mathgroup at smc.vnet.net
> Date: 2005/06/16 Thu AM 07:19:35 EDT
> Subject: [mg58085] [mg58041] Transformation rule problem
>
> Hi there,
>
> I'm stuck with a problem concerning transformation rules and was
> wondering whether somebody could give me a hint on this. I wouldn't
> mind a complete solution either ;-) Here's the problem:
>
> In a sum like for example
>
> a^2 b^4 + a^3 b + a^5 + a^5 b
>
> I'd like to replace every instance of the product (a b) by a different
> expression, let's call it d. Thus my result should look like
>
> d^2 b^2 + a^2 d + a^5 + a^4 d
>
> This replacement is required to work for arbitrary a and b (especially
> when they're functions). I've already tried some simple transformation
> rules but they couldn't do the job.
>
> Cheerio,
> Oliver
>
>

```

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