特征方程

However, the characteristics that the multiple constraints and sequences in the auto-body assembly make the error stack-up very complex and it is difficult to search dimension-loop by utilizing the traditional dimension loop model in the 3-D variation analysis and synthesis in auto-body. Meanwhile, for the auto-body composed by great mounts of parts, the traditional Monte Carlo Simulation is time-consuming.

然而，车身装配过程中零件间的多约束特征和多装配顺序影响，使得车身装配偏差累积规律十分复杂，传统尺寸链分析方法需要建立尺寸链方程，难以适应车身三维偏差分析；同时，传统的蒙特卡洛求解方法计算效率低下，难以应用于这种复杂车身产品的公差综合。

The approximate solution to FPK equation isobtained. The joint probability density function and stationary mean out-crossing rateare investigated for ship nonlinear rolling subjected to additive white noise excitation.Melnikov function and phase space flux are applied to analyze highly nonlinear rolland capsizing of ships in the random seas. The variation of phase space flux withrespect to the characteristic wave period, significant wave height and damping ofships is studied.

求FPK方程近似解，研究白噪声激励下船舶非线性横摇运动的联合概率密度函数及稳定期望穿阈率，应用Melnikov函数和相空间转移率研究船舶在随机波浪中的强非线性横摇运动及其倾覆问题，考虑波浪特征周期、有义波高及船舶阻尼特性的变化规律，推导了船舶在随机横浪中的极限波高的表达式。

In chapter 5,the characteristic-Galerkin method for a system of shal-low water equations is investigated.

在第五章，研究含有多种成份的二维浅水波方程的特征-Galerkin方法。

The threshold intensity is reduce as well as the width of OB region. In addition, the composite medium with dielectric loss is also discussed.

通过Laplace 方程找出外场作用下圆柱壳的响应电场，从而求出复合体系的有效非线性极化率以及在强场下的双稳特征，着重分析了

In this algorithm, the strongest corner points is adaptively detected with Harris operator and (2n+1)×(2n+1) feature windows is selected for originally mutual gray correlative matching. Continental distance ratio invariant criterion is proposed, and consistency of motion vector is improved by eliminating error matching points with median filter. 9 pairs right points is preserved, 4 pairs composing 1 group, and 5 groups is random distributed to uncoil the motion vector equations. Last, stabilization precision is improved by averaging the 5 groups' solutions.

该方法用Harris算子自适应检测出最强壮的角点，开辟(2n+1)×(2n+1)特征窗进行灰度互相关初匹配；提出欧式距离之比不变准则，通过中值滤波剔除误匹配点，确保运动矢量较高的一致性；最后保留若干正确的匹配点对，分成多组解运动矢量方程，将多组解的平均值作为全局运动矢量以提高稳像精度。

Continental distance ratio invariant criterion is proposed,and consistency of motion vector is improved by eliminating error matching points with median filter.9 pairs right points is preserved,4 pairs composing 1 group,and 5 groups is random distributed to uncoil the motion vector equations.Last,stabilization precision is improved by averaging the 5 groups′ solutions.

该方法用Harris算子自适应检测出最强壮的角点，开辟(2n+1)×(2n+1)特征窗进行灰度互相关初匹配；提出欧式距离之比不变准则，通过中值滤波剔除误匹配点，确保运动矢量较高的一致性；最后保留若干正确的匹配点对，分成多组解运动矢量方程，将多组解的平均值作为全局运动矢量以提高稳像精度。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

First we investigate the wave propagation behavior of the equation.

首先我们研究这类方程的特征线传播。

The system is described mathematically on the basis of mass balance, energy balance, and phase equilibrium. The model of process simulation of the AHT system is set up. The solution system of mathematical model of absorption cycles was put forward.

对吸收式热变换器的基本原理和行为特征在系统层次上进行了分析，进而根据质量平衡、能量平衡和相平衡方程对系统进行数学表述，建立了系统的过程模拟模型，并提出了AHT吸收循环数学模型的求解机制。

The introduction of nonlinear advection into the model weakens the intensifying of maximum tangential wind with relative to the initial disturbance azimuthally wave numbers and intensity .2 An f-plane quasi-geostrophic barotropic vorticity equation model of high resolution is designed in this paper in order to investigate the characters of vorticity propagation and the effect of nonlinearity on the propagation within a typhoon circulation, wherein two mesoscale vortices coexist at different radial positions.

设计了一个高分辨率的f平面的准地转正压涡度方程模式，用以研究两个径向距离不等的中尺度涡旋共存条件下，台风环流内涡量传播的特征，以及非线性在此传播过程中的作用。10组试验的结果指出：与单涡条件相比，涡量内传的强度显著加强，涡量滞留在台风内区的时间加长，内区局域最大风速增大的现象更加清楚。

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