Quasi-homogeneous polynomial

id: quasi-homogeneous-polynomial-286-2168579
title: Quasi-homogeneous polynomial
text: In algebra, a multivariate polynomial is quasi-homogeneous or weighted homogeneous, if there exist r integers w 1 , … , w r , called weights of the variables, such that the sum w = w 1 i 1 + ⋯ + w r i r is the same for all nonzero terms of f. This sum w is the weight or the degree of the polynomial. The term quasi-homogeneous comes from the fact that a polynomial f is quasi-homogeneous if and only if for every λ in any field containing the coefficients. A polynomial f is quasi-homogeneous with w
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original url: https://en.wikipedia.org/wiki/Quasi-homogeneous_polynomial
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date modified: 2021-10-29T15:44:54Z
main entity: {"identifier":"Q7269455","url":"https://www.wikidata.org/entity/Q7269455"}
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