In this paper, the second equivalence theorem of eigenvalue method for solving sparse polynomial equations is proved.
证明解稀疏多项式方程组特征值方法的第二等价性定理，并给出方程组的解与特征值的关系。
It is pointed out that the eigenvalues of these structures are the roots of a series of rational fraction polynomial equations. A theorem about the roots of these equations is proved in the paper.
本文指出了弱粘弹性材料结构的特征值是一组有理分式多项式方程的根，并给出了关于这些有理分式多项式方程根的一个定理。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
利用这一公式建立了常微分方程初值问题的正交多项式拟合算法。
An effective numerical solution of renormalization group equations is introduced, and compared with the traditional solution of polynomial expansion.
介绍了重正化群方程的一种有效的数值解法，并与多项式展开的传统解法作了比较。
This paper presents an efficient algorithm for the implicitization of parametric curves defined by polynomial parametric equations, which is mainly based on the theory of matrices.
给出了多项式参数方程定义的参数曲线的有效隐式化算法，此算法主要是基于矩阵理论。
The method of orthogonal polynomial regression was used for regression modeling, and then the regression equations and regression coefficients were tested for significance.
采用正交多项式回归分析法建立回归模型，并对回归方程和回归系数进行显著性检验。
The distribution of zeros for nonlinear differential equations with positive arguments by method of polynomial series, and some more explicit conditions to oscillate are given.
通过构造多项式序列的方法，建立了非线性时滞方程的解的零点分布，给出了较为广泛的振动条件。
In this paper two reasons-the deviation of the data from the origin and the size of the data-causing the ill-conditioned normal equations in the least square fitting of a polynomial are discussed.
讨论了最小二乘多项式拟合中引起正规方程组病态的两个重要原因：节点对原点的偏离程度和节点坐标的数量级。
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.
根据二维双调和方程的特点并借助于MATHEMATICA软件，得到了应力函数双调和方程的多项式解答。
This research paper of proposition logic algebra in the said, on the basis of the solution of equations by polynomial, propositional formula for equivalent conversion and deductive reasoning.
在对命题逻辑代数化表示的基础上，通过解多项式方程组，对命题公式进行等价转换、演绎推理。
Moreover, we investigate the existence of analytic solutions for polynomial-like iterative equations with variable coefficients and improve some known results.
同时也研究了变系数多项式型迭代函数方程解析解的存在性，其结果改进和推广了作者本人以前的工作。
The exact solutions to dispersive long-wave equations are obtained by a polynomial expansion method based on the idea of the homogeneous balance method.
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 nodal equations and response matrix equations are derived using higher order polynomial approximations to the spatial dependence of the flux within the hexagonal-z node.
六角形节块内的中子通量密度分布采用高次多项式近似表示，最后导出通量矩方程及偏流的响应矩阵方程。应用粗网再平衡和渐近源外推方法加速收敛。
The nodal equations and response matrix equations are derived using higher order polynomial approximations to the spatial dependence of the flux within the hexagonal-z node.
六角形节块内的中子通量密度分布采用高次多项式近似表示，最后导出通量矩方程及偏流的响应矩阵方程。应用粗网再平衡和渐近源外推方法加速收敛。
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