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Estimation of parameters for general liner functional model with singular covariance. First, the Rao decomposition of the sample variance and the known singular measure error variance are presented and then the square measure error with singular variance and the standardized condition are got.

首先讨论了样本协方差与已知的奇异度量误差方差的Rao分解,给出了含有奇异方差广义逆的二次度量误差和模型的标准化条件,证明了二次度量误差与广义逆的选取无关。

In this thesis we show distribution of direct singular positions in the workspace and also several singular configurations.

本文绘出奇异位置在工作空间内的分布及数个奇异构形。

The technique discussed above helps us to determine the distribution of direct singular positions in the manipulators workspace.

本研究使用上述条件找出3PPSR并联式机械手臂正向奇异位置在工作空间的分布,并发现此机构在工作空间内任何区域皆有正向奇异位置。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法,为了准确地确定奇异点,用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布,并用一种基于主分量分析(principalcomponentanalysis,简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

In this paper, an adaptive algorithm for singular points detection is proposed, which is based on the behavior of Gaussian-Hermite moments. In order to detect singular point accurately, the distribution of Gaussian-Hermite moments of different orders of the fingerprint image in multiple scales is used. A PCA-based method is used to analyze the distribution of Gaussian-Hermite of fingerprint image.

介绍了一种基于Gaussian-Hermite矩分布属性的自适应指纹奇异点定位方法,为了准确地确定奇异点,用到了指纹图像在多种尺度下的不同阶Gaussian-Hermite矩分布,并用一种基于主分量分析(principal component analysis,简称PCA)的方法分析指纹图像的Gaussian-Hermite矩分布。

The energy of every IMF and the singular value of the IMF matrix were chosen as features. The Shannon and Renyi entropy of the energy and singular value distribution were also extracted.

计算各固有模态函数的能量和矩阵的奇异值,采用Shannon熵和Renyi熵度量能量和奇异值分布,构成原始特征子集。

Combining with the element-free method,a boundary element method without singular integration is presented by using non-singular fundamental solution to establish the boundary integral equation for electromagnetic field.

用非奇异基本解建立电磁场问题的边界积分方程,将其与无单元法相结合,提出了电磁场计算的无奇异积分的边界无单元法,编制了相应的计算程序,计算结果表明,方法合理可行。

In the past, there exists difficulty for calculating nearly singular integrals arising from boundary element analysis of the problems of thin body. However, by now, the difficulty of nearly singular integrals has been resolved by analytical integral algorithm, which has been put into uses in analyzing the conventional structures and thin body structures in the potential problems.

过去边界元法求解薄体结构存在着几乎奇异积分的困难,目前几乎奇异积分问题已得到成功解决,解析积分算法也已成功应用于分析二维位势问题常规结构和薄体结构。

So we have in the dissertation: 1. First we proposed the minimal singular blending function, and established the minimal singular blending functions of power form、Bernstein form and Bézier form.

提出了最小奇异混合函数,研究了它的建立方法,给出了各种形式的最小奇异混合函数,有幂形式、Bézier基形式及Bernstein-Bézier基形式。

In thesequel,the definition of singular point is given,and then the Laurent's expansionof a LR regular function with isolated singular points is obtained in the corre-sponding Laurent domain,after that,we introduce the definition of residue,andthe residue theorems are obtained.

虽然这仅仅讨论的是在Clifford分析中的较为特殊的Riemann边值问题与奇异积分方程,但它仍然改进了以前文献的结果,从而也为更进一步地解决Clifford分析中一般的Riemann边值问题与奇异积分方程提供了基本的解决思想。

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