特征方程

First of all, the evolutionary game model of this system is built, according to a population and determinately dynamic function in evolutionary game theory, and quilibrium structure and effect factors of the evolutionary system are analyzed. Next, the evolution quilibrium characteristics of investor behaviors in China's securities market are researched as a demonstration, and the reasons why noise traders become popular in the process of investor behavior evolution are explained, based on its evolutionary mechanism. Moreover, the influences of investor behavior evolution on share market's fluctuation are researched through setting up its noise trade model. When noise traders are dominant in securities market, price discovery function and resource configuration effect are also analyzed. Finally, when noise trade become popular, the shortage of some policies, such as, enlarging institution investor and short sale is explained, and some good suggestions are provided according to former research results.

首先，应用进化博弈论中的单群体确定性模仿者动态方程建立证券投资者行为的进化博弈模型，并对进化系统的均衡结构特征及其影响因素进行分析；其次，根据我国证券市场实际，对我国证券投资者行为进化的均衡结构进行实证分析，并从投资者行为进化的角度，解释我国证券投资者行为进化为噪声交易主导市场的原因；然后，通过建立股市波动的噪声交易模型，研究投资者行为的进化对股市波动的影响，并进一步分析我国噪声交易主导市场时对市场价格发现和资源配置功能的影响；最后，根据理论及实证的研究成果，分析噪声交易主导市场时大力发展机构投资者等制度作用的有限性，并进一步提出我国证券市场相机治理的政策建议。

The remote sensing equation for determining the profiles of the atmospheric temperature structure constant and wind have been derived by using the statistical characteristics of the fluctuated atmospheric microwave radiation.

推导出利用大气氧气微波辐射起伏统计特征，探测大气温度结构常数分布与风分布的遥感方程。

When discrete characteristic of digital images is considered, finite difference approximates differential operator.

考虑数字图像离散化特征，用有限差分近似微分运算，将由PDE描述的反射图方程转化为关于未知高度的代数方程，然后使用迭代算法求解，得到新的SFS算法。

Built up dimensional reference frame and vector equation of movement model of orthogonal turn-miling.

为了提高数控车铣的编程效率，论述了正交车铣运动的特征，同时通过对正交车铣运动过程的分析，建立了一个描述其运动的空间坐标系，从而建立了正交车铣运动模型的矢量方程。

In this paper we mainly utilize super and sub solution techniques, use comparision principle and construct appropriate supersolution and subsolution by eigenfunctions to discuss two kinds of nonlocal nolinear parabolic systems with homogeneous Dirichlet boundary condition.

两类非线性抛物方程解的整体存在与爆破性质本文主要利用上下解方法，运用比较原理，通过特征函数等构造适当的上下解讨论了两类抛物型方程组解的整体存在与爆破。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

For the infective subsystem, we obtain the existent condition of the subsystem equilibrium point and the uniqueness of the positive equilibrium point by the no infectious subsystem's conclusion and the image analysis. The partial stability of the subsystem equilibrium points is discussed by analyzing eigenvalue. The condition that the system has no limit cycle is obtained by the Dulac function.

对染病子系统，利用无病子系统所得结论及图像分析法，得到了系统平衡点的存在条件，正平衡点的存在唯一性；利用特征根方法判断了系统平衡点的局部稳定性；利用Dulac函数得到了系统不存在极限环的条件；利用极限方程理论得到了系统疾病消除平衡点和地方病平衡点的全局稳定性。

As an application, the completeness of the eigenfunction system of the infinite dimensional Hamiltonian operator corresponding to a wave equation is given.

作为应用，还给出了波动方程导出的无穷维Hamilton算子特征函数系的完备性。

We have established the basic equation of eigenspace assignment theory and obtained a preliminary control law of active flutter suppression .

建立了特征空间配置理论的基本方程，并针对某机翼的弹性运动初步设计了一个颤振主动抑制控制律。

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