homogeneous polynomial transformation A homogeneous polynomial transformation is a polynomial transformation where all the term of the polynomial have the same degree. Elisabetta Manduchi WEB: http://mathworld.wolfram.com/HomogeneousPolynomial.html a*x, with a non-zero, is a homogeneous polynomial of degree 1 in 1 variable, a*x^2, with a non-zero, is a homogeneous polynomial of degree 2 in 1 variable; a_1*x_1+...+a_n*x_n, with at least one of the a_i's non-zero, is a homogeneous polynomial of degree one in n variables; a*x_n^3+b*x_1*x_2*x_3, with at least one of a and b non-zero, is a homogeneous polynomial of degree 3 in n variables. homogeneous polynomial transformation polynomial transformation ready for release