应用生成函数的方法求出了常系数非齐次线性递推式的显式解。
This paper gives an explicit solution to linear non-homogeneous recurrence relations with constant coefficients by means of generating function.
本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构，并给出利用系统右端多项式系数的判断准则。
In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
基于齐次平衡法的思想，利用多项式展开法解得了具有色散项的长波方程组的精确解。
The exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
另一方面，引力场的能量动量又可以表示为平移规范场强的二次齐式因而在广义坐标变换下协变。
On the other hand, it can also be expressed in terms of the translation gauge field strength and therefore is covariant under general coordinate transformations.
利用这个结果并借助于计算机可以给出一大批齐次对称多项式不等式的可读性机器证明。
By means of this result and computer, the readable machine proofs for a lot of the inequalities of homogeneous and symmetric polynomials can be obtained.
在求解域上，利用迦辽金法，将泊松方程的非齐次部分用一个5阶多项式近似表示，而这些多项式对应的方程特解可以很容易获得。
In the solution domain, thePoisson equation is approximated with the 5-order polynomial using Galerkin method, and the particular solution of the polynomial can be determined easily.
在求解域上，利用迦辽金法，将泊松方程的非齐次部分用一个5阶多项式近似表示，而这些多项式对应的方程特解可以很容易获得。
In the solution domain, thePoisson equation is approximated with the 5-order polynomial using Galerkin method, and the particular solution of the polynomial can be determined easily.
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