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In addition, a method of determining second-order radial distortion coefficients based on collinear points is also presented. Comparing with previous methods, this method is much simpler.

此外，提出了基于共线的摄像机的径向二阶透镜畸变系数标定方法；和现有方法比较，新方法计算更加简单。

The coefficients in trial function can be gained by the point collocation method, then the solution of the boundary value problems is obtained. Non - uniform beams and irregular plates on Winkler foundation and plates on elastic half space foundation can be numerical calculated by the introduced method.

为对土与结构物的相互作用进行研究，在采用适当的土体模型的基础上，必需求解地基与基础的共同作用方程，而该共同作用方程一般是偏微分方程或微分积分方程，除一些简单的模型外，其解析解较难获得，因此只能采用数值方法求其结果，加权残仇法是一种L作鼠少、简便易行的数仇方法{2，但其解的精度'。

Then,a new fast algorithm of the minimal norm least squares solution for linear system whose coefficients is an m×n symmetric Loewner matrix with full column rank is given by forming a special block matrix and researching the triangular factorization of its inverse.

对于工程计算中常常遇到的一类线性方程组的求解，通过构造特殊分块矩阵并研究其逆矩阵的三角分解，给出了求秩为n的m×n阶对称Loewner矩阵为系数阵的线性方程组，及极小范数最小二乘解的快速算法，该算法的计算复杂度为O+O(n2)，而一般方法的计算复杂度为O(mn2)+O(n3)。

Coefficients of h-polynomial of fully commutative elements of group H_4 type are nonnegative.

H_4中所有满交换元素的h多项式系数非负。

Validating experiment was carried out on IKONOS2 images, and showed that resultant regression coefficients were more acceptable for their physical meanings, and that the discribed method performed comparable with spectral response function or least squares based methods.

通过IKONOS-2全色与多光谱图像的融合实验，结果表明：该方法所求得的回归系数具有明确物理意义，符合实际情况，并且与光谱响应函数法、最小二乘法相比，其融合质量基本保持一致，并且由于该方法不需要先验知识，故其实用性较强。

Besides, in the new spectral dynamical framework the calculation amount firstly is decreased to half by properly using the complex conjugate relation of spectral coefficients and the symmetric and anti-symmetric character of spherical function.

另外，新方案中的纬向谱系数计算式，合理利用谱系数的复共轭性质及球函数关于赤道对称或反对称特性，使计算量减半。

The universal and not computable randomness test function defined by Kolmogorov is approximated using the Lagrangian coefficients of common support vector machine in the light of their physical meanings.

在一些高风险和重要的应用场合，如个人身份认证、医疗信号诊断以及金融分析决策等，置信判断显得更为重要和实用。

The other is called Householder transformation method, in which the matrix of inconsistent equation group is orthogonalized and triangulated using Householder transformation, and then the Zernike coefficients can be worked out by using a backsubstitution technique. It is proposed for the first time. Being a method that can avoid the computational error effectively and can be easily performed, it has proven to be a feasible and efficacious algorithm.

特别是第二种方法由本文第一次提出，它避免了构造法方程组，从而避免了以前的方法因构造的法方程组出现严重病态而引入的计算误差，并且易於编程，因而是一种比较理想的实现Zernike多项式拟合的算法。

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper. A practical algorithm to express this condition in terms of the coefficients of the polynomials is also given.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法，从而可以只用此多项式的系数来表示得到的充要条件。

The testing results of either the augmented Solow model or the endogenous growth model which considered different economic opening degrees both support the conditional convergence hypothesis in most sample sets, while the estimated convergence coefficients of the later are significantly lower than those of the former.

大部分样本中，扩大的Solow模型或考虑不同经济开放程度因素下的内生成长模型，支持条件收敛假说，而后者设算出的收敛系数明显较为低。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。