Re: Transformation rule problem
- To: mathgroup at smc.vnet.net
- Subject: [mg58057] Re: Transformation rule problem
- From: bghiggins at ucdavis.edu
- Date: Fri, 17 Jun 2005 05:19:13 -0400 (EDT)
- References: <d8rnfg$l4b$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Oliver, try this
f //. {a^(x_)*b -> a^(x - 1)*d, a^(x_)*b^(y_) ->
a^(x - 1)*b^(y - 1)*d, a*b^(x_) -> b^(x - 1)*d}
Cheers,
Brian
Oliver Buerschaper wrote:
> 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