Hello,
Another question about poynomial ring. Currently, the constructor
accepts the following arguments to determine the variable names
- arg1
- arg2
- name
- names
- var_array
The var_array is nowhere used in Sage and its only purpose is to get a
numerotation on two indices rather than one:
sage: PolynomialRing(ZZ, 2, 3, var_array='x')
Multivariate Polynomial Ring in x00, x01, x02, x10, x11, x12
over Integer Ring
It is not a very nice syntax and moreover it does not allow indexation
on more indices. I would like to deprecate it and instead propose to
extend the variable_names function
def variable_names(t, prefix)
sage: variable_names(3, 'a')
('a0', 'a1', 'a2')
sage: variable_names((2, 2), 'a')
('a00', 'a01', 'a10', 'a11')
sage: variable_names((2, 2, 2), 'a')
('a000', 'a001', ..., 'a111')
A better syntax to access it from PolynomialRing (and also FreeAlgebra
and friends) would be
sage: PolynomialRing(QQ, 'x', (2,2))
Multivariate Polynomial Ring in x00, x01, x02, x10, x11, x12
over Integer Ring
Please tell me:
- if 'var_array' is useful to somebody (otherwise it will be deprecated)
- if it makes sense to have a feature for the above multi-indexing of
variables
Cheers,
Vincent
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