RegularChains[ParametricSystemTools][CoefficientsInParameters] - return the coefficients of a polynomial with respect to parameters
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Calling Sequence
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CoefficientsInParameters(p, d, R)
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Parameters
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p
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polynomial in the ring
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d
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-
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number of parameters
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R
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-
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polynomial ring
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Description
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The command CoefficientsInParameters(p, d, R) returns a list, lp, of polynomials involving the last d variables only.
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The integer d should be positive and less than the number of variables. The last d variables are regarded as parameters, , and the other variables, , are regarded as unknowns.
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More precisely, the function will extract from p the polynomials of , which are the coefficients of p when regarded as a polynomial in . Moreover, the extracted polynomials might be simplified while preserving the variety defined by them.
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This command is part of the RegularChains[ParametricSystemTools] package, so it can be used in the form CoefficientsInParameters(..) only after executing the command with(RegularChains[ParametricSystemTools]). However, it can always be accessed through the long form of the command by using RegularChains[ParametricSystemTools][CoefficientsInParameters](..).
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Examples
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