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Re: Extracting terms of a multivariate polynomial order by order

• To: mathgroup at smc.vnet.net
• Subject: [mg80292] Re: Extracting terms of a multivariate polynomial order by order
• From: dimitris <dimmechan at yahoo.com>
• Date: Thu, 16 Aug 2007 07:24:28 -0400 (EDT)
• References: <fa13t2$p5c$1@smc.vnet.net>

On 16    , 12:03, Marcus P S <marcus... at gmail.com> wrote:
> Hello,
>
>   I have a multivariate polynomial (3 variables) from which I would
> like to extract terms order by order.  More explicitly, I want all the
> lowest order terms, or all terms of the form
>
> c(L,M,N) x^L y^M z^N
>
>   where L+M+N is smallest, and c(LMN) is some coefficient.  If I have
> this, I can extract order by order, and taylor to which order I want
> to approximate my polynomial.
>
>   I considered "Coefficients", but if I ask for the coefficients of
> the form x^2 z^2, it may return something like "1 + y", which is not
> what I want.  Moreover, I have to explicitly request each possible
> term of a given order, which seems too mechanical/repetitive to be the
> "right way"  to do things.  The function for manipulating SeriesData
> objects are similarly limited.
>
>   I am assuming that there is function in Mathematica (even 5.2) that
> will do this.  Any suggestions would be greatly welcome.
>
>   Thanks in advance.
>
>   Marcus Silva

Plese show us your polynomial...

Dimitris