同时给出了关联实验结果的多项式方程的各参数。
The parameters of polynomial equation for fitting the experimental results are also reported.
本文的主要新工作在于：利用一般多项式表示标准四元数多项式方程的解；
Our important new work is: expressing the solutions of the standard quaternionicpolynomial equation with general polynomial;
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。
In this paper, the second equivalence theorem of eigenvalue method for solving sparse polynomial equations is proved.
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。
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.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
考虑阻尼力后，结构的特征方程应有复数根，因而通常用于求解多项式方程实数根的二分法不再适用。
The consideration of damping force leads to a fact that there exist complex roots to the characteristic equation for the structures.
基于非线性多项式方程的零点配对算法以及临界点算法，给出了一种求平面代数剖分样本点的改进算法。
Based on the critical point algorithm and zero-match algorithm, an improved algorithm for finding sample points of algebraic decomposition was proposed.
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。
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.
有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程序表现了类似图中的花椰菜菜籽的重复的复杂性。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.
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。
By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.
本文从不同种植密度和施氮量对玉米籽粒产量的影响，建立了二次多项式回归方程。
Second-degree polynomials equation of maize(Zea Mays L. ) grain yield with both planting density and nitrogen fertilization was established by means of regression analysis.
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。
An effective numerical solution of renormalization group equations is introduced, and compared with the traditional solution of polynomial expansion.
本文从恒压过滤速率方程出发，利用多项式回归的方法求取过滤常数，并以一实例将之与教材中介绍的方法进行了比较。
The polynomial regression based on the constant-pressure filtration rate equation has been presented to handle the experimental data and compared with the methods in literature through an example.
并针对该系统所用的RS（255，247）码推导出了一些基本公式，包括生成多项式，伴随式矩阵，关键方程等。
At the same time, some basic formulas of RS(255,247)code are also concluded, such as generated polynomial, syndromes matrix, key equation and so on.
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。
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.
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 method of orthogonal polynomial regression was used for regression modeling, and then the regression equations and regression coefficients were tested for significance.
BCH码、RS码的译码问题主要归结为一个所谓关键方程的解决，也即是错位多项式的求法。
Decoding codes such as BCH, RS codes consist essentially of solving the key equation, namely, finding error locator polynomial.
对拟合方程进行方差分析并在此基础上利用偏拟合平方和的检验确定拟合多项式的最佳阶数。
The optional polynomial order is selected through the test of the partial fitting square sum on the basis of the variance analysis of the fitting equation.
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。
Moreover, we investigate the existence of analytic solutions for polynomial-like iterative equations with variable coefficients and improve some known results.
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。
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.
该算法利用多项式带余除法的相关推论，通过矩阵的列变换来求解关键方程，这样可以快速地得到商式和余式，从而可以减少迭代运算的次数。
The proposed algorithm use the related deduction of division with reminder of polynomials and the key equation is solved by column transformation of matrix.
分别介绍了用分段多项式和朗培其一奥斯古特三参数方程拟合应力应变曲线并求切线模量和割线模量的方法。
By piecewise polynomials and the Ramberg-Osgood three-parameter equation fitting the stress-strain curve, the expressions of the tangent and secant modulus are derived.
多项式回归分析表明，花粉可育率对特效烯浓度和播期的反应是二元二次方程。
Polynomial regression analysis indicated that the reaction of fertile pollen rates to tetcyclacis concentrations and dates showed a quadratic relationship.
将复杂系统定义在螺旋系统上，就可将一个复杂系统看成由若干个简单的子系统叠加而成，每个子系统的系统方程可以用多项式拟合。
When defined on spiral system, a complex system can be regarded as a combination of some simple subsystems, and every systematic equation of the subsystems can be replaced with polynomial.
此外还给出可以用a的多项式来表示方程的解的充要条件。
We also give necessary and sufficient conditions that any solution can be explicitly expressed by matrix polynomial of a.
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。
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.
采用多项式迟滞非线性模型建立二元机翼气动弹性运动方程，并用数值积分法进行求解。
The dynamical equation of a two-dimensional airfoil with polynomial hysteresis nonlinearity in pitch is solved using Runge-Kutta time marching integration.
结果显示理想溶液模型的误差较大，多项式经验方程的误差最小。
Correlation results showed that the polynomial empirical equation is the best to fit in the experimental results.
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。
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。
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.
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