A weighted homogeneous polynomial is a polynomial for which every nonzero monomial has the same weighted
degree. For positive integer weights 
and degree 
, this is equivalent to
 |
When 
,
the normalized weights are the positive rational numbers 
.
For example, 
has weights 2 for 
and 3 for 
, with weighted degree 6. Its monomials
have different ordinary total degrees. Equal weights
recover ordinary homogeneity.
