非对称的

The works in the project just done can be summarized as five respects.(1) A device was designed to fabricate the asymmetrical resonant cavities by a pendant drop. A series ARCs with variable parameters provides a valuable experimental method for investigating the characteristics of ARCs.(2) The relationship between the number of active modes and the shape parameters in an ARC was investigated. The experimental lasing threshold was compared with theoretical result, the good agreement between two shown that it was the decrease of the number of active modes in an ARC that decreased lasing threshold.(3) Dye lasing gain was used to enhance the signals of stimulated Raman scattering of the weak gain Raman modes in a circular cavity made by a pendant drop, the instantaneous SRS spectra of weak gain Raman modes in ethanol was obtained by this new method.(4) The SRS signals of minority compound in a binary chemical complex was obtained by using dye lasing gain method. The detection concentration of minority compound was reduced to an order compared with normal SRS method.(5) A cylindrical circular cavity was formed by a liquid jet, which was used to reduce the pump intensity required for laser induced plasma spectroscopy. The limit of detection of trace element in aqueous sample was greatly decreased by this new method.

我们设计并成功制作了使悬垂液滴连续变形的装置，用此装置可以方便地改变非圆对称谐振腔的几何参数，为ARCs的研究提供了一种有效的实验方法；研究了ARCs中活性模式数和变形参数间的变化规律，激光阈值的数值计算结果和激光辐射的实验结果作了比较，二者吻合的曲线说明ARCs中活性模式数量的减少是受激辐射放大阈值降低的原因；在由单元化合物构成的微型圆对称谐振腔中，首次尝试用"激光增益"增强弱增益拉曼模式的受激拉曼散射信号，获得了乙醇分子中弱增益拉曼模式的瞬态SRS光谱；在由二元混合物构成的微型圆对称谐振腔中，用染料的激光增益增强了少量化合物的SRS信号，把少量化合物的SRS信号探测浓度降低了近一个数量级，在SRS应用于瞬态过程的组份分析方面做了卓有成效的探索；用石英毛细管形成的稳定液拄构成拄形谐振腔，降低了激光诱导等离子体光谱需要的激励能量，有效地降低了水相样品的痕量元素分析极限，为LIPS应用于微量元素的化学分析开拓了一条新的技术路线。

On the basis of Gaskell′s calender theories,it was set up that the mathematics model of the symmetrical calender processing of Newtonian fluid and that of non－newto nian fluid which was looked on as pure v iscous power－law fluid.It also included the content of rolls deformation and com pensation complied with mechanical calcu lation.

本研 究主要根据Gaskell理论建立了牛顿流体对称过程的压延流变数学模型、非牛顿流体对称过程的压延流变数学模型；还根据机械计算方法建立了压延辊筒变形的计算及补偿方法的数学模型。

The nonlinearity and discrete gradient inherited in CAViaR model is a conundrum for parameter estimation. We take the asymmetric Laplace distribution with scale parameter as the error process; indicate the variance has a minimum positive value when the scale parameter is a constant, conflicting with the distribution of real financial data. Further we estimate the parameters of indirect TARCH-CAViaR model base on Bayesian framework and Markov chain Monte Carlo method. The optimal scale parameter can also be obtained by Markov chain Monte Carlo method.

CAViaR一般模型中递归分位回归方程的非线性和非连续可微性是参数估计的一个难题，基于含有尺度参数的不对称拉普拉斯分布作为误差过程，指出将尺度参数固定为常数会导致不对称拉普拉斯分布随机变量的方差存在最小正值的限制，与实际金融数据分布不符；进而提出采用贝叶斯分析和马尔科夫链蒙特卡罗模拟方法，估计间接TARCH-CAViaR模型的参数，并可获得尺度参数的合理估计。

The main achievements of this dissertation are as follows: Let W be a nonsingular matrix. 1. Problem I and Problem II are considered under the matrix set S is as the following: 1 the set of real W-symmetrizable matrices; 2 the set of real W-symmetrizable nonnegative definite matrices; 3 the set of real W-symmetrizable matrices on the linear manifold.

对于问题I和问题II，本文就S是W可对称化矩阵集合、W可对称非负定化矩阵集合以及线性流形上W可对称化矩阵集合等三种情况进行了研究，分别给出了这三种情况下问题I的解存在的充分必要条件，以及解集合的通式表达式，给出了这三种情况下的最佳逼近解，并提供了相应的数值算法和数值实例。

This paper mainly discusses a kind of indefinite stochastic linear quadratic optimal control problem with incomplete data, which can be described as: Minimize subject to Here Q, F are indefinite symmetric matrices,R is a positive semidefinite symmetric matrix.

本文主要讨论的是一类部分信息下的不定随机LQ问题，其形式如下：这里Q，F为不定对称矩阵，R为非负对称矩阵。

The recognizability of the face is then defined as the function of the face size and the relative locations of eyes and mouth.

第四个部份，以两眼和嘴巴形成的三角形、方向的对称度、区域灰阶值的对称程度，来区分人脸的转向为三大类：正脸、有转动的脸和非正脸。

The Jacobi matrix rank one update problems, given either their mix-type eigenpairs or their pricinpal submatrix and defective eigenpairs(the eigenvalues of the matrix and some elements of the corresponding eigenvectors) are also discussed.

n阶对称箭形矩阵与n阶Jacobi矩阵一样只有2n-1个非零元素，类似Jacobi矩阵逆特征值问题的提法，本文提出并讨论了六类对称箭形矩阵逆特征值问题，研究了这类矩阵的结构性质，得到了问题有解的充分必要条件及求解的数值算法和数值算例。

In this paper, we study nonlinear perturbation analysis of mesoscale verticalcirculation and evolution equation by means of f plane, non-hydrostatic balance andfilter model. Outstanding nonlinear characteristic of mesoscale disturbance invertical direction, we obtain nonlinear symmetric disturbance equation anddisturbance amplitude s evolution equation by use of multi-scale and singularperturbation technique.

中文摘要：本文采用f平面、非静力平衡、滤声波模式，讨论了大气中尺度非线性动力学方程，通过尺度分析重点突出了扰动在垂直方向上的非线性特征，从而得到了对称扰动非线性方程，运用多重尺度方法和摄动分析讨论了对称扰动非线性重力惯性波的演化过程，得到非线性重力惯性波振幅演化服从广义的非线性Schrdinger方程。

Its accomplishment is simple and intuitional. The main innovation of this method is that we only need construct a symmetric zonal mesh for each interpolated curve respectively and write appropriate knot spacings for mesh edges. Then applying NURCC rules to the initial control polygonal mesh consisting of those symmetric zonal meshes can generate a surface that satisfies interpolation constrains.

该方法的主要创新思想是在被插值曲线的控制多边形两侧构造具有简单对称性质的四边形网格，称为对称网格带，但关键还在于对网格边赋予适当的节点距，并对由这些对称网格带组成的初始控制网格应用非均匀有理Catmull-Clark细分规则，来生成满足插值要求的曲面。

In the whole considered frequency range, the acoustical performance of rotationally asymmetric structures is better than that of symmetric structures.

且在整个计算频率范围内，非旋转对称结构的吸声性能都要优于旋转对称结构。

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