Homogeneous and heterogeneous mixtures mixture is air. In physical chemistry and materials science this refers to substances and mixtures which are in a single phase. This is in contrast to a substance that is heterogeneous. A solution has been a special type of homogeneous mixture. Solutions are homogeneous because the ratio of solute to solvent remains the same throughout the solution even if homogenized with multiple sources, and stable because the solute will not settle out after any period of time, and it cannot be removed by a filter or by centrifuge. This type of mixture is very stable, i.e., its particles do not
Quasi-homogeneous polynomial Quasi-homogeneous polynomial In algebra, a multivariate polynomial is quasi-homogeneous or weighted homogeneous, if there exist "r" integers formula_2, called weights of the variables, such that the sum formula_3 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 formula_5 in any field containing the coefficients. A polynomial formula_6 is quasi-homogeneous with weights formula_2 if and only if is a homogeneous polynomial in the formula_9. In particular, a homogeneous polynomial is