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I was wondering if someone could tell me what the basis of the space of d-variate polynomials of order not exceeding q is?

M.Ramana
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It is the set of $d$-variate monomials of order not exceeding $q.$

Igor Rivin
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  • Thank you very much for your answer. If we have two variables $x,y$ and $q=2$, you mean that ${ 1,x,y,x^2 ,y^2 ,xy}$ is basis? – M.Ramana Apr 12 '21 at 09:07