Hi all:
As a newbie Sage contributor, i thought it would be good practice to
submit small chunks of code (instead of big ones like what i recently
submitted). So i wrote a useful little function to check algebraic
dependence for a given list of polynomials (documentation below). I'd
like to get it incorporated into Sage, but where in the Sage library
should i propose to put it? If it operated on a single polynomial,
then i think i would add it as a method to the class
MPolynomial_libsingular(sage.rings.polynomial.multi_polynomial.MPolynomial).
But it operates on a list of polynomials. Any advice?
Alex
def alg_dep(fs):
r"""
This function returns an irreducible annihilating polynomial for
the
polynomials in `fs`, if those polynomials are algebraically
dependent.
Otherwise it returns 0.
INPUT:
- ``fs`` - A list of polynomials `f_1,\ldots,f_r` from a common
polynomial
ring.
OUTPUT:
If the polynomials in `fs` are algebraically dependent, then the
output is an irreducible polynomial `g` in `R[T_1,...,T_r]` such
that
`g(f_1,\ldots,f_r) = 0`.
If the polynomials in `fs` are algebraically independent, then the
output
is 0.
"""
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