残差和

If the Landweber method and pre-iteration method were convergent, the residue sequence would be monotone decreasing. By analyzing the convergence, the fact is demonstrated that for the severe ill-conditioned matrix of sensitivity coefficient, because of the limitation of the precision of the computer, the residue sequence is not monotone decreasing; thereby the reconstruction images diverge from the true distribution of the conductivity. So the generalized inverse method with threshold is established and the selection way of the regularization parameter is presented, by which the better images are reconstructed.

Landweber法和预迭代法收敛，则其残差序列单调递减，通过对它们的收敛性进行分析，证实对于病态性严重的灵敏度系数矩阵，由于受计算精度的限制，迭代过程中的残差序列不再单调递减，从而导致重建图象偏离实际电导率分布，因此作者建立了带阈值的广义逆算法，提出了规则化参数选择方法，获得了较好的图象重建质量。

By re-constructing the system, the residual error dynamic characteristics of unknown input and fault signals including unknown disturbances and modelling error are obtained. The energy norm indexes of disturbance and fault signals of residual error are selected separately to reflect the restraint of disturbance and the sensitivity of faults, and the design of fault detection observer is described as an optimization problem.

通过对系统进行重构，获取了包括未知扰动、建模误差等未知输入信号和故障信号的残差动态特性，分别选取残差的扰动信号和故障信号的能量范数指标来体现其对扰动的抑制作用和对故障的灵敏性，并将故障检测观测器的设计描述为一个优化问题。

In order to capture the volatility-clustering phenomenon of financial asset return, we use AR(1)-GARCH(1,1) model to describe the volatility of financial asset return. Then assume different residual distribution and use the GPD method of extreme value theory to residual term to estimate one-day VaR of financial asset loss.

而为了捕捉金融资产报酬所呈现出的波动丛聚现象，因此我们以AR（1）-GARCH（1，1）模型捕捉波动起伏，并考虑不同之标准化残差项分配和对标准化残差项利用极值理论GPD法去估算金融资产损失率之一日风险值。

The analysis shows that the residual of the multi-spectral image with high resolution can be recovered by substituting the simplex portion obtained by decomposing the low-resolution multi-spectral image with hypercomplex residual image of a high-resolution panchromatic image, and the fusion of the multi-spectral image and the panchromatic image can be achieved by synthesizing symplectic decomposition.

分析表明用高分辨率全色图像的超复数残差图像来替换低分辨率多光谱图像分解后得到的simplex部分，就可以恢复出高分辨率的多光谱图像的残差，最后通过symplectic分解的合成实现多光谱图像和全色图像的融合。

The method comprises the following steps of : respectively constructing models of residual images of a multi-spectral image and a panchromatic image by using hypercomplex, and respectively subjecting the hypercomplex residual models of the multi-spectral image to hypercomplex symplectic decomposition along the grayscale axis direction to obtain a simplex portion containing brightness information and a perplex portion including chromaticity information.

该方法首先用超复数分别对多光谱图像和全色图像的残差图像建模，并对多光谱图像的超复数残差模型沿灰度轴方向分别进行超复数symplectic分解，得到包含亮度信息的simplex部分和包含色度信息的perplex部分。

In order to discuss the property of the ambiguity residual error vector, the joint probability density function between the integer ambiguity solution and the ambiguity residual error vector is also introduced in this section.

为了讨论模糊度残差向量的性质，本文也介绍了模糊度整数解和模糊度残差向量的联合概率密度函数。

The first approach was a qualitative test method, and gave statistical correlation trend. Second and third approaches were quantitative test methods, and indicated the goodness of fitting and the ranges of the residual estimation errors.

拟合相关图法属定性检验，给出了统计相关趋势；回归分析法和残差估计误差指示法为定量检验，给出了模拟计算值与实测值间的拟合优度和残差估计误差的范围。

This paper discusses a fast calculation method of GPS carrier phase integer ambiguity resolution, analyze independent variables in search space, derivate new residual transition matrix which directly associates all measurement error with minimum search space, and search space is minimized through selecting the ambiguity combination which is consistent with satellite geometry size and measurement error.

探讨了一种GPS载波相位整周模糊度的快速求解方法，分析了搜索空间中的独立变量，推导出了新的传递矩阵。该矩阵将所有的测量残差直接和最小求解搜索空间相关联，通过仅选择那些与卫星几何尺寸和测量残差一致的模糊度的组合，搜索空间被最小化。

In order to overcome the problem that the determination of non-scale interval definite and fractal dimension's computation were affected by human factors, the new method of scale transformation was presented according to the principles of notable regression effect, the smallest residual sum of squares and weak autocorrelation of residual error, which providing reference for the determination of study scale.

本文针对分形理论在描述监测站网分布时易受人为因素影响问题，提出了以回归效果显著，残差平方和最小和残差自相关性小为原则的确定尺度转折点的方法和基于GIS技术的点状数据确定尺度转折点的基本步骤，以期为研究尺度的科学确定提供参考。

The measurement system error model analysis is introduced into power system real time network state analysis as an important part for the first time, which can improve on the state estimation quality and provide the capability to monitor the operation of the measurement system; 2. The theory and algorithm of the on-line estimation and update of measurement noise variance based on the relation between the residual variance and noise variance. The statistic properties of the sample variance are discussed and the relation between the estimation precision and sample size under given confidence level is derived; 3. The theory and algorithm of detection and identification of measurement bias are presented, which is based on the relation between residual mean and noise mean. The statistic properties of sample mean are discussed and the relation between estimation precision and sample size is derived; 4. The Givens orthogonal transformation algorithm is selected to be the essential algorithm of state estimation, the fast orthogonal transformation algorithm with damp factor and the algorithm which can handle the zero injection measurements efficiently are presented; 5. The quantity analysis theory of bad data detectivity and identifibility are presented, which describes the relation between the elements in matrix W〓 and bad data amplitude and can provide the theory base for measurement system design and valuation.

一、首次将量测系统误差模型分析做为一个环节引入电力系统实时网络状态分析中，为EMS系统增加了实时监视系统运行、修正量测系统误差模型的新功能，进一步发挥了实时网络状态分析应用软件的潜力；二、首次提出了应用样本方差在线估计与修正量测系统误差方差的基本理论，讨论了样本方差的统计性质和概率分布，推导出了样本容量、估计精度和置信度之间的关系，给出了在线估计与修正量测系统误差方差的算法；三、首次提出了应用样本均值在线检测与辨识量测偏差的基本理论，讨论了样本均值的统计性质，推导了样本容量、估计精度和置信度之间的基本关系，给出了在线检测与辨识量测偏差的算法；四、在状态估计算法设计中，以Givens变换算法做为基本算法，提出了快速正交变换阻尼因子法和可以有效地处理零注入量测的混合法，并对实时应用中的一些问题进行了讨论；五、提出了不良数据可检测性与可辨识性的定量分析理论，揭示了描述量测系统配置、网络结构与参数的残差灵敏度矩阵中的元素与不良数据的幅值在可检测、可辨识能力上的定量关系，为量测系统配置设计与评价提供了理论基础；六、综合国内外最新研究成果，采用自适应自回归预测技术和稀疏矢量技术，构造了较完善的不良数据检测与辨识算法。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失