Then where for every i = 1 , ..., q Sg ( y ) = ¯ g ( y ) + ¯ r ( y ) (18) ¯ g$_{i}$ ( y ) = ∫ y 0 ¯ G ( x )$_{i}$ dx ; where the integration of the gradient along any continuous curve from 0 to y provides each component of g, r. Each ¯ g$_{i}$ ( y ) of ¯ g ( y ) is a homogeneous polynomial of order ( α$_{i}$ + 1) and, by Euler formula: with: Each element ¯ r$_{i}$ ( y ) of ¯ r ( y ) contains no homogeneous polynomial of order smaller or equal to ( α$_{i}$ + 1) . In particular, when λ goes to infinity: 22 Λ = diag ( 1 α$_{i}$ + 1 ) . ¯ g ( y ) = Λ ¯ G ( y ) y (19) ¯ r$_{i}$ ( y ) = y 0 ¯ R ( x )$_{i}$ dx,