Commit 2023-03-29 06:00 bcbee715
View on Github →feat(ring_theory/mv_polynomial/weighted homogeneous): add weighted homogeneous polynomials (#17855)
It is possible to assign weights (in a commutative additive monoid M
) to the variables of a
multivariate polynomial ring, so that monomials of the ring then have a weighted degree with respect to the weights of the variables. The weights are represented by a function w : σ → M
, where σ
are the indeterminates.
A multivariate polynomial φ
is weighted homogeneous of weighted degree m : M
if all monomials occuring in φ
have the same weighted degree m
.