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For the linear model with aggregated data, this paper proposed one kinds of the relative efficiency of Peter-Karsten estimator compare to the best linear unbiased estimator.

对于聚集数据的线性模型,本文给出了Peter-Karsten估计相对于最佳线性无偏估计的一个相对效率,得到了相对效率的下界,讨论了该相对效率与广义相关系数的关系。

Parameter identification Markov method for continuous stochastic linear system and bilinear system via wavelet transform The statistical properties of continuous Wiener process are studied.

基于小波变换的离散随机线性和双线性系统参数辨识Markov方法分析了由白噪声驱动的有理滤波器输出随机信号在小波变换下的滤波和去相关特性,提出一种在线估计噪声协方差矩阵及其Cholesky分解因子的方法。

The results show that when the linear birefringence is small, the linear birefringence of the bulk glass can be effectively measured by the methods reported in this paper.

研究发现:在线性双折射较小的情况下,通过论文中提出的方法,可较好的测量出块状光学玻璃线性双折射的大小。

It enlarges the range of quasi-linear Born approximation, and makes the prestack depth migration method based on quasi-linear Born approximation to be able to adapt strong lateral velocity variation.

在散射波场计算中,使用了一个更稳定的散射波场计算公式,扩大了拟线性Born近似的应用范围,使基于拟线性Born近似的叠前深度偏移方法能够适应更强的横向速度变化。

The results showed that there was power function relationship between the capillary water rise height and groundwater supply quantity and the time. There was linear function relationship between capillary water rise height and groundwater supply quantity and a power function between them and the time. There was linear function relationship between the capillary water rise velocity and the groundwater supply rate. Parameters could be calculated by measured data, which showed that it is possible to simulate capillary water rise process of homogeneous soil by Green-Ampt model.

结果表明:均质土毛管水上升高度和地下水补给量均与时间之间为幂函数关系,毛管水上升速度和地下水补给速率也均与时间呈幂函数关系,毛管水上升高度与地下水补给量之间呈明显的线性关系,毛管水上升速度与地下水补给速率也呈线性关系;通过试验资料可以推求有关参数;说明入渗条件下的Green-Ampt模型用于模拟均质土的毛管水上升过程是可行的。

The original method of balancing chemical reaction equation s is improved by using the basic theorem of a system of linear equation.

利用线性方程组的基本理论对现有的配平化学方程式的方法———线性代数法加以改进,通过增加一行元素,将电子表征向量体现出来,使之适用于一切化学反应方程式的配平。

This paper studys the stability of nonlinear systems in two particular critical cases. In a case, the linear systems at the equilibrium point of interest is assumed to possess a simple zero eigenvalue. In the other case, it is assumed to possess a complex conjugate pair of simple pure imaginary eigenvalue.

本文基于中心流形定理研究了非线性系统在两种特殊临界情形下的稳定性问题,一种是与它相应的线性系统在平衡点仅有零特征根,另一种是与它相应的线性系统在平衡点仅有一对共轭的纯虚数特征根。

The linear manifold-learning algorithms represented by PCA, with their substantial mathematical foundation and simple implementation, but they are not able to show complex nonlinear manifold structure with their linear essence, which gives rise to nonlinear manifold-learning algorithms such as Isomap, SIE etc.

以PCA为代表的线性流形学习算法有较强的数学基础,实现简单,但是其线性本质并不能揭示复杂的非线性流形结构;于是又出现了以Isomap、SIE等为代表的非线性流形学习算法。

The reason lies in that the conventional representations of PWL functions concern with too many parameters occurring in the function expressions and the domain partitions respectively, which result in the redundance of the parameters in the case of the continuity condition considered.

分片线性模型得不到广泛和系统应用的主要原因是传统的分片线性函数表示式涉及太多的参数,包括定义域及定义域每一部分上函数的定义;当考虑连续性条件时冗余是显然。

Robust stability criteria, the design methods of robust stabilizing controller and guaranteeing certain robust performance controller for linear time-delay system with norm-bounded uncertainties or convex polyhedron uncertainties are studied in this paper by delay independent method and delay dependent method.

针对具有范数有界不确定参数和凸多面体不确定参数的线性不确定时滞系统,分别给出了它们时滞无关指定鲁棒H~∞性能约束可镇定的充分必要条件以及相应的控制器设计方法,结果以线性矩阵不等式的n浙江大学博士学位论文形式给出。

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