查询词典 least squares

Generalized predictive control is a kind of advance control methods that is of strong robustness, can overcome the time delay of system effectively and is suitable to unstable non-minimum phase system. But it has the shortcoming of large computation load because of online solving the Diophantine equation, inverse matrix and recursion solution by Least squares. So four kinds of fast algorithms of GPC that don't need the mathematical model of plant and are highly real-time are proposed in the paper. They have laid the rationale for the application of GPC to systems that need fast response.

广义预测控制是一种鲁棒性强、能够有效地克服系统滞后、可应用于开环不稳定非最小相位系统的先进控制算法，但由于它需要Diophantine方程计算、矩阵求逆和最小二乘的递推求解，因此计算量很大，本文针对此缺陷提出四种不基于对象模型且实时性高的广义预测控制快速算法，为广义预测控制应用于实时性要求高的快速系统奠定了理论基础，具体研究工作如下。

It includes an optimized curve fitting algorithm based on the least-squares method and a surface lofting algorithm in which a interpolation function is employed to provide a continuous variation of the parameter in one direction over the entire lofted surface.

基于最小二乘法，对截面数据进行均方误差下的精确优化拟合；在曲面蒙面算法中，采用插值函数确定蒙面曲面一个方向的参数。

The mechanism of the least squares approximation that MFNN with finite nodes carried out on a given discrete point set is made, which, for the first time, results in an important theorem.

分析了有限规模多层前向网络用于离散点集上的最小二乘逼近的机理，首次给出了一个有关的定理。

To resist co-interference of MC-CDMA system, smart antenna are used in MC-CDMA. A blind adaptive array algorithm was developed for MC-CDMA system by using recursive least-squares dispread respread multitarget array.

MC-CDMA系统中同信道干扰仍然是影响系统性能的主要因素，这就需要使用智能天线来提高系统的性能。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。