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Table 1

Monomial basis of polynomial spaces Pq and Qq of total and partial degree q, respectively, for n = 2, and q = 0,1,2,3.

Polynomial in x,y
q Pq

0 1
1       1,x,y        
2 1,x,y,x2,xy,y2
3 1,x,y,x2,xy,y2,x3,x2y,xy2,y3
Q q

0 1
1 1,x,y,xy
2 1,x,y,x2,xy,y2,x2y,x2y2,xy2
3 1,x,y,x2,xy,y2,x2y,x2y2,xy2,
x 3 , y 3 , x 3 y, x 3 y 2 , x 3 y 3 , x 2 y 3 ,x y 3

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