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asked 13 years ago

araichev gravatar image

partial fraction decomposition function for multivariate rational expressions

Hi all:

I'd like to extend Sage's partial fraction decomposition function in the QuotientField class to a function that works on quotients of multivariate polynomials. To this end, i've found it convenient to store a rational expression F=P/(Qe11Qemm) as a Python list of the form [P,[Q_1,e_1],...,[Q_m,e_m]], where Q1,,Qm are the irreducible factors of F's denominator. Let's call these special kinds of lists 'widgets'. I have several auxiliary functions that manipulate widgets.

Code design questions for you. Should i make a new class for widgets, and if so, where in the Sage tree of modules should i put this class? If not, where do i put the auxiliary functions that manipulate widgets?

Thanks for your attention.

Alex