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If the two models display a systematic difference in the estimated coefficients, then we have reason to doubt the assumptions on which the efficient estimator is based.

同时,如果在多个 IV 中,有一个是确定为外生的,那么,可以用 Sargan test of overidentifying restrictions 来检验其他的 IV 是不是确实是外生的。

In this paper, we study the oscillations of the eigenfunction of Sturm-Liouville problem with indefinite coefficients and general separated boundary conditions on (0,l).

本文研究了定义在有限区间上的具有一般分离型边条件的左定Sturm-Liouville算子的特征函数的振荡问题。

The diffraction potential functions are obtained by using the eigenfunction expansion method, and expressions for reflection and transmission coefficients are defined.

首先利用特征函数展开法导出了绕射势函数的分析解并进一步得到透反射系数的计算公式,然后利用边界元方法验证了解析解。

We discuss the relation of the expanding coefficient and the outfield when the order parameter is invariant, and we get a result similar to that of measuring the Frank elastic constant by outfield, the relation of the two kinds of the expanding coefficients is also gained indirectely.

Landau-P.G.de Gennes自由能密度表达式,并且讨论了当序参数恒定时在外场作用下展开系数与外场的关系,得到了与用外场测Frank 弹性常数相似的结果,间接得到了两种展开系数之间的关系,也为确定L。

The influence of measurement geometry and ultrasonic source and receiver are analyzed to highlight their role in the estimation of elastic stiffness from scattering coefficients. Extrinsic properties, such as surface roughness, are briefly dealt with.

报告中分析了几何结构、超声波源以及接收体对检测的影响,强调了它们在弹性刚度、散射系数的评估中的作用,涉及了非固有特性的处理。

Chapter 2 is started from the basic theory of elastodynamics, the zero and the first order reflection and transmission coefficients of rough interface are derived in theory, and some numerical examples are given. Also dispersion characters of diffraction waves are discussed in the case of micro-rough interface in deep layers.

第二章从弹性动力学的基本理论出发,通过求解波动方程的定解问题,从理论上导出了地震波在粗糙界面上的零阶和一阶反射透射系数,并给出了数值算例;该章还讨论了深层微粗糙界面的绕射波的频散特征。

In this paper, reconstruction is provided for two convection coefficients or corresponding nonlinear term from Dirichlet to Neumann map determined by the boundary measurements of the solution of the elliptic equation in the plane.

本文提供了由平面椭圆型方程解的边界性态所确定的Dirichlet-Neumann映射求解方程两个对流系数或相应的非线性项的方法。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function.

利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi椭圆函数表示的双周期解。

In the paper,according to homogeneous balance principle and F-expantion method,some double-periodic exact solutions of a fifth-order KdV-like equation with variable coefficients are obtained in form of Jacobi elliptic function .

利用齐次平衡原则和F-展开法,求出了一个五阶变系数KdV-like方程的一些用Jacobi 椭圆函数表示的双周期解。并且在极限的情况下,得到了该方程的孤立波解和三角函数表示的周期波解

In chapter 3,we study the Zakharov-Kuznetsov-Modified Equal-Width equation by employing the extended Jacobi elliptic function expansion method and obtain some new solutions of Jacobi elliptic function type of the ZK-MEW equation.;Secondly,using sn-cn method,we study K(m,n,1) equation and obtained some new exact solutions when k=s=3,especially obtained abundand solitary solutions and trigonometric function solutions when m→0 and m→1;In chapter 4,Painleve singular analysis was applied to nonlinear PDE with variable coefficients.

第四章将Painleve奇性分析方法应用到带阻尼项的变系数Burgers方程中,并得到了该类Burgers方程具有Painleve性质的条件,给出了该类Burgers方程的Backlund变换,用所得Backlund变换得到了若干精确孤立波解,包括奇异孤立波解,这些解不等同于行波型孤立波解;用齐次平衡法得到了对数型DBM方程的Backlund变换,并获得了DBM方程的各种孤立波解,包括尖峰孤立波解和奇异尖峰孤立波解。

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