查询词典 least squares

Since most of the large molecules containing phosphorus element have double bonds, it is necessary to consider the special structures of double bonds in order to deal with these large systems more accurately. So, based on density functional theory and electronegativity equalization principle, applying a general atom-bond electronegativity equalization method , using separated program, through regression and least-squares optimization , the parameters of atoms and bonds in molecules are determined . By these parameters , the charge distributions and the energy of some molecules containing phosphorus element, especial the fragment of DNA, RNA, are calculated . The results are quite good.

由于这些含磷生物大分子体系都含有双键，为了明确的处理双键，进而更准确的解释带有双键和共轭双键的含磷生物大分子结构与性质的关系，我们以密度泛函理论~([1-4])和电负性均衡原理~([5-9])为基础，应用和开发原子-键电负性均衡方法中的σπ模型，利用最小二乘法，拟合确定了一些分子（含碳、氮、氧、氢以及磷等原子）的各种类型原子及化学键区域的参数，并利用上述参数计算了一些多聚核苷酸的电荷分布以及分子的总能量，进行了讨论，得到的结果可以和从头算相媲美。

The KPLS formulae in the form of dual optimization were deduced,which had the style of least squares support vector machine.

推导了KPLS对偶优化形式的公式，且使其具有最小二乘支持向量机的风格。

This is my collection of a foreigner series of the least squares fit algorithm for elliptic.

这是我收集的一个老外编的最小二乘法拟合椭圆算法。

Element-free Galerkin Method is a effective method for solving partial differential equations with the help of shape functions coming from moving least squares approximation. It is well-suited to problems involving large deformation and crack propagation etc on which Finite Element Method can not be used easily. But EFGM is computationally expensive and it is hard to impose the essential boundary condition. Coupling the EFGM and FEM can fetch up the defect of EFGM and improve the efficiency highly.

无网格伽辽金法是基于移动最小二乘法的一种用来求解偏微分方程非常有效的方法，在处理诸如高度大变形、裂纹动态扩展等有限元法较难解决的问题时有其独特的优势，但是存在处理边界条件复杂，计算量大的不足，将无网格法同有限元耦合可以解决这些缺点，极大的提高计算效率。

For robustness of parameter estimation of linear model,we obtain the maximal classes of the error distribution,in which Generalized Least Squares Estimate,Gauss-Markov Estimate of estimable function of parameters,and Minimum Norm Quadratic Unbiased Estimator of variance maintain their optimal statistical properties.

这些研究成果不仪具有比较深刻的理论意义，还具有较为广泛的应用价值。

We make the following assumption for When 2 is positive definite matrix, different estimators about matrix of regression coefficients and inefficiency of Least squares estimate have been discussed in many documents. Considered 2 is nonnegative definite matrix, this thesis derives Best linear unbiased Estimate of parameter matrix B and estimable parameter function KBL under the meaning of matrix nonnegative definite and the property of maximum probability of BLUE is investigated.

当∑＞0时，众多文献讨论了回归系数阵的各种估计及LSE的有效性，本文考虑了当∑≥0的情形，给出了回归系数阵B及其可估参数函数KBL的在矩阵非负定意义下的最优估计，研究了它的一个最大概率性质，并且讨论了最小二乘估计成为最佳线性无偏估计的充分必要条件，在此基础上给出了均值矩阵的最小二乘估计与BLUE的偏差估计，定义了LSE相对于BLUE的一个相对效率，并给出了它的界。

Least-squares method is a system identification in the most basic method of parameter estimation.

最小二乘法是系统辨识中参数估计的最基本方法。

In the process of calculating Euler's equation, the least squares algorithm is a common choice.

在解欧拉方程的过程中，常用的方法是最小二乘法求解。

In view of describing latent variables influence which are faced to the model of relationship between customer satisfaction degree and its influence factors, integrating the respective characteristic of partial least squares method and the structure equation model, this paper proposed the question that the structure equation model application in service industry which is based on PLS method; take the system thinking as the instruction, construct the model of customer satisfaction in the technical project service industry which take the customer satisfaction degree as endogenous latent variables, and take the customer expected, the sensation quality and the sensation value as exogenous latent variable.

本文针对描述客户满意度与其影响因素间关系模型所面临的潜变量影响，结合偏最小二乘法与结构方程模型各自的特点，提出了基于PLS的结构方程模型应用在服务行业的问题；以系统思想为指导，构造了以客户满意度为内生潜变量，以客户期望、感知质量与感知价值为外生潜变量的技术工程服务行业客户满意度模型。

It provides a way to find optimal lower dimensional approximations of the given data, and It enormously reduce the storage of the data which is needed when the physical processes is recurred. The physical process can be described in series expansion function that only is related to the time and space. It is optimal approximation of the given data in a certain least squares optimal sense. The most obvious advantage of the method is that it reduces the computation cost and computation time markedly.

它提供了一种描绘物理过程的有效方法，该物理过程可以写成一个只与时间相关的函数和一个只与空间相关的函数的展开式序列，且它们在均方意义上是最优的，在展开式中只需要少量的项数就可较准确地描述该物理过程，因此降低计算维数、减少计算量和节省计算时间是这个方法最明显的优点。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。