polynomials

Some properties of polynomial mollifier are presented and the conclusion that polynomial can consistently approximate continuous function is proved.

According to the nature of two-dimensional biharmonic equations,this paper obtains a polynomial solution of the biharmonic equation for stress function by means of the MATHEMATICA software.

Then triangle transform is used to create a polynomial system of over 9 equations, of which solution is obtained by the method of elimination by eliminant for m≥n.

In this correspondence, a new class of sextic residue sequences is constructed and the characteristic polynomial and hence the linear complexity of it are determined.

The trackability limitation of current gradient algorithm is discussed.A new algorithm, named variable parameter gradient estimation algorithm with local polynomial approximation is proposed.