Furthermore, the functional matrix Pn,λ[x] with polynomial of binomial type related to [ n+λ n-k ] and its properties are studied.

The properties of the lower triangular functional matrix Ln[x] associated with a polynomial of binomial type are discussed in this paper, in which the entry-(i,j) of Ln[x] is equal to lij =(?)i-j(x)l(i,j)if i≥j and equal to 0 otherwise, with l(i, k)l(k,j) = l(i,j)(k-j i-j) and for integers n,k,i,j and real numbers x,y.

Some identities involving Bell polynomials and binomial polynomial sequences;

We analyze SCB and its prediction with quadratic polynomial model,grey model,and linear model respectiv.

The optimal proportion of diesel/bio-diesel/ethanol was researched with uniform design,the quadratic polynomial model which took the NOx emission,the specific fuel consumption,the smoke value as evaluation indexes was established,and the optimal proportion was acquired based on the partial optimization and comprehensive optimization of evaluation indexes.

In this paper we have investigated the constructing method of the axial stiffness in polynomial form for arbitrary supported rod with homogeneous cross-section from the fundamental mode and corresponding frequency when rods density distribution in polynomial form is given.

Using bivariate polynomial corrects the cross-section image of the discharge end,the experimental results show that using bivarivate polynomial with aptitude degree and dots can effectually corrects the cross-section image of the discharge end.

The bivariate polynomial is used, and the key pool in the q-composite scheme is changed into bivariate polynomial pool, and the key ring stored in each node is changed into bivariate polynomial ring.