残差和

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

This approach is a combination of signal analysis and mathematical model .By the denoising function of wavelet and the learning itself function of neural network , the input and output nonlinear dynamic characteristic of system is obtained . The output prediction error, generated from the real output and wavelet neural networks estimated output, is used as a residual error to execute logical judge. and this approach can improve the speed and accuracy rate of fault detection.

它是一种把信号分析和数学模型相结合的故障检测方法，通过小波对信号的去噪和神经网络的自学习功能，来获取系统输入输出的非线性动力学特性，进而实时计算出残差并进行逻辑判决，可提高故障检测的速度和准确率。

The structure-toxicity relationship of 59 substituted benzenes was studied by the method of bayesian regularization neural network,and a QSAR model was built for environmental toxicity evaluation and prediction of substituted benzenes with lipid-water partition coefficient and four quantum indices.

利用贝叶斯规整化神经网络研究了59种苯取代的环境毒性和分子结构的关系。建立了基于脂水分配系数和4种量子指数的QSAR环境毒性预测模型。结果表明：该模型的预测性能超过偏最小二乘法和逐步线性回归方法，残差分析显示其稳定可靠，有望成为一种良好的苯取代物毒性的环境评价和预测的方法

Based on a simple and applicable method for sensitivity analysis, the updating parameters were determined such as material, cross shape and size of the main loading rods in the rig derrick. The optimal updating function was established according to the residual differential value between testing modal parameter and theoretical modal parameter.

依据简单实用原理，利用灵敏度分析方法确定了井架结构主要承载杆件的材料、截面形状和几何尺寸为待修正参数；以试验模态参数和理论模态参数之间的残差最小值构建优化修正函数，利用一阶搜索优化算法对待修正参数进行了优化和状态评估。

A new switching scheme to the gain of variable structure control signals is proposed. The following important open problems in standard VS-MRAC and MRAC are solved by using the scheme: 1 . a prespecified transient and steady-state performance index for tracking error can be achieved without requiring any information about the plant high frequency gain sign when relative degree of modelled part of plant is one, and 2 . it is shown that as long as the performance indexes are guaranteed for the auxiliary errors, each of which in dynamics is a sub-system with relative degree one, the tracing error will converge to a small residual set in a prespecified transient time when relative degree of modelled part of plant is greater than one.

提出了一种控制增益可切换的变结构自适应律，解决了如下变结构模型参考自适应控制（包括基于调参律的模型参考自适应控制）理论研究中长期没有解决的问题：当对象建模部分相对阶为1、高频增益符号未知且存在非线性输入扰动和未建模动态等情况下，系统跟踪误差可满足预先给定的动态和稳态性能指标；当对象建模部分相对阶大于1且存在非线性输入扰动和未建模动态时，可保证系统跟踪误差在预先给定的过渡过程时间内收敛到一个残差集中； 5。

It was found that the multi-parameter model describing the relation of vapor enthalpy and temperature ( Clapeyron-Clausius equation ) is obviously superior to the commonly used two parameters model and the Antoine equation in term of residual square sum and statistic distribution rule of error.

以乙醇为例利用非线性拟合技术和文献报道的实验数据，探讨了纯物质蒸气压和温度关系及其参数的拟合问题。从拟合的残差平方和和误差的统计分布规律考虑，基于蒸发焓与温度关系( Clapeyron-Clausius方程)的多参数模型明显优于常用的二参数模型和Antoine方程

In chapterⅡ, considering GLMMs data which the number of high units is different and the number of low units is small and unbalanced, we Conduct a series of simulations, the simulations show that regardless of the number of the level 2 units,the Bayesian estimate of random effects residual variance is more precise than PQL and the PQL estimation deviates from the true value seriously; In terms of the fixed effects estimates, When the number of level 2 units is 20, The mean and median of the Bayesian estimate is more precise than PQL,But With the number of level 2 units increase,the estimate of two methods is similar. Thus, in practical applications, we recommend the use of Bayesian method.

第二章针对不同高水平单位数，低水平数较小且不平衡的GLMMs数据，进行模拟研究，研究表明：无论水平2单位数的大小，贝叶斯方法随机效应残差方差估计值远比PQL法更接近真实值，PQL法严重偏离了真实值；而对固定效应参数估计值，当水平2单位数为20时，贝叶斯法各参数的均数和中位数均要较PQL法更接近真实值，而随着水平2单位数的增加，两种方法在估计固定效应参数时相差并不大，因而，在实际应用中，推荐采用贝叶斯法。

The sample covariance between each independent variable and the OSL residuals is zero.

每个自变量和OLS协残差之间的样本协方差为零。

Real GPS observations were used to test the performance of the proposed filter.The results show that the method has the potential to improve the quality of GPS results,which can successfully extract the desired vibration signals from the point coordinat...

对GPS实际观测资料进行分析，结果表明：采用该方法不仅能从坐标序列中成功提取结构振动信息，也能正确分离载波相位双差观测值的残差序列中的结构振动和多路径效应影响，因而在提高GPS定位精度上具有较大的应用潜力。

In terms of code and phase observables and their observational equations, code multipath observation is derived and discussed.

其中伪距观测值中的多路径效应的分析又分为单频接收机和双频接收机两种情况进行了讨论；而相位观测值中的多路径效应的相关分析是利用相对定位的平差残差进行的。

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