Darboux polynomials and first integrals have close relation,the conditions for the existence of a Darboux polynomial are much weaker than the conditions for the existence of a fist integral,it is positive meaning that we use Darboux polynomials to find out first integrals of the polynomial system or use the nonexistence of Darboux polynomials to prove the nonexistence of first integrals.

The polynomial expression model is a new model to interpret the light scattering process inside leaf/soil system and decipher the non-linear relationship between component spectra and canopy reflectance.

Web text categorization based on multinomial distribution model;

The n_ary Boole polynomial f(x_,…,x_n) can be denoted by the form off(x_1,…,x_n)=∑f(α_1,…,α_n)x~~~(α_1)_1…x~~~(α_n)_nLet F_n and_m is respectively the set of all n-ary Boole functions and all n_ary Boole polynomials on Boole algebra B,then F_n=_n iff |B|=2.

Coefficients Design of Polynomial Wigner-Ville Distributions;