对称

In this paper,all symmetries of the generalized kdv equation are obtained by means of infinitesimal generator of Lie group of transformation.

本文用Lie变换群的无穷小方法，求出了广义kdv方程的全部对称，并用特殊的对称将其化为常微分方程。

In chapter 1, as a preparative knowledge, the main results about symmetry theoryand Wus method are introduced, in addition some fundamental definitions, such as trans-formation group, infinitesimal operator, prolongation, first integral, infinitesimal criterionfbr invariance of an ODE, characteristic set are recalled.

第一章中作为预备知识简单介绍了对称理论和吴方法，并给出了一些基本概念和理论，如变换群、无穷小算子、算子延拓、首次积分、微分方程在对称下不变的判别准则和微分特征列集算法。

The experimental results present that the three electrodes DBD is basically display filamentary discharge mode. The intermittent filament impulses of current wave of the comb-like electrode are unsymmetrical while that of the plate-plate electrode is symmetrical. And the multineedle-plate DBD displays diffuse conical mode.

实验结果表明：三种电极放电的形式不尽相同，但基本上以细丝放电为主要特征；在放电特性上，单面梳状电极DBD呈正负半周期内电流波形上加载非对称的电流脉冲群，双介质板电极DBD则是对称的电流脉冲群，而多针—介质平板电极放电电流波形上既加载了具有电晕放电特征的稀疏幅值大电流脉冲群，又加载了具有DBD放电特征的密集小幅值的电流脉冲群，表现为DBD和电晕放电相叠加的效果。

A plausible charge distribution of Fe and Mo valence states is proposed, and the stability of the compounds is discussed. Polycrystalline samples of 〓(0.8≤x≤1. 5) are prepared by solid-state reaction at high temperature. The alteration of the relative content between Fe and Mo in 〓 exhibits a significant effect on the crystal structure and the ionic ordering of the compounds.

采用传统高温固相烧结反应法合成了非化学配比的双钙钛矿型〓系列化合物。X射线粉末衍射数据分析结果表明，非化学配比的双钙钛矿结构〓（0.8≤x≤1.5）系列化合物的晶体结构随着Fe含量x的变化在x=1.2附近有一个由四方14/mmm对称向立方Fm〓m对称的结构结构相变发生。

Particularly, the weight configuration matrix is not necessarily symmetric or irreducible, and the inner-coupling matrix need not be symmetric.

特别地，文中的构形矩阵不必要是对称或不可约阵，内部耦合阵也不必为对称阵。

Fruit usually nutlike, sometimes capsular and 3-valved, 1-seeded, with persistent, variously accrescent calyx of which 2 or more lobes are usually developed into lorate wings. Seed exalbuminous; cotyledons fleshy, equal or unequal, applanate or ± folded or cerebriform, entire or laciniate; radicle directed toward hilum, usually included between cotyledons.

果通常坚果状，有时具蒴果和3瓣裂，种子无胚乳；子叶肉质，对称或不对称，扁平或者折叠或脑状，全缘或条裂；胚根对着种脐，通常夹在2个子叶之间。

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 third aspect: we consider comparison of Minimum Norm Quadratic Unbiased Estimator and ordinary least squares estimator of in the multivariate normal linear model Y ~ N{XB, V, where the design matrix A' need not have full rank and the dispersion matrix V can be singular.

使用的损失函数有二次损失函数、嫡损失函数和对称损失函数。论文基于以下三个准则：二次损失风险准则、嫡损失风险准则和对称损失风险准则，将MINQUE和LSE进行比较。

Otherwise, we design several shapes of the TFT devices, like symmetry structure、non-symmetry structure、differential channel width and length of the TFT devices、micro lens array lie on top of the TFT devices.

除此，利用不同的薄膜电晶体光感测元件设计，如对称式的、非对称式的、不同通道的宽度及长度或是电晶体上方制作微小的聚光透镜等方式。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。