Extracting terms of a multivariate polynomial order by order
- To: mathgroup at smc.vnet.net
- Subject: [mg80280] Extracting terms of a multivariate polynomial order by order
- From: Marcus P S <marcus.ps at gmail.com>
- Date: Thu, 16 Aug 2007 04:51:49 -0400 (EDT)
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
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- Re: Extracting terms of a multivariate polynomial order by order
- From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
- Re: Extracting terms of a multivariate polynomial order by order