查询词典 difference equation

In this method, the parameters to be estimated are divided into two sections, the number of equation dimension is reduced by half, so the solution of equation is simplified, and the working efficiency is greatly raised.

在这种解算方法中，由于将待估参数分成了两部分，使原本庞大的高维方程组的解算得以简化，把待求参数的维数减半，大大提高了工作效率。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity.

对于非线性运动方程，我们引入了外加强迫力和阻尼对系统的摄动，借助Galerkin方法从非线性偏微分方程得到了含二次非线性的常微分方程。

The governing equation is further reduced into an ordinary nonlinear differential equation by Galerkin's method.

利用Galerkin方法将其转化为非线性振动方程。

The motion equation of a particle is reduced to the nonlinear differential equation with a weak_periodic modulation by sine_squared potential.

利用正弦平方势把粒子运动方程化为具有外周期弱调制的非线性微分方程，并利用Melnikov方法分析了系统出现Smale马蹄的临界条件。

Since the governing equations for atmosphere movement can be reduced to a convective equation, so, to verify the validity of SFEBS, the propagation of one dimensional wave packet and shock governed by convective equation are simulated and compared with the boundary scheme that is based on the idea of Taylor series expansion.

因为大气运动的控制方程简化后可以归结为一个对流方程，所以作为边界格式之间的比较和检验，在一维情况下用对流方程和数值模拟中具有代表性的波包和激波作为算例，将其与传统的基于Taylor展开思想构造的边界条件进行了比较。

By using Galerkin's method the partial differential equation is reduced ordinary differential equation with quadratic nonlinearity. The results of qualitative analysis indicate that the system has homoclinic orbit.

定性分析表明，对于前屈曲和后屈曲两种情况，系统的相图具有相同的同宿轨道，只是位置在相平面上沿横轴发生了一个简单的平移。

Taking the active network as a research task, the input accessibility, the Coates graph of matrix and graph transmission etc are used to analyze the relation between reducibility of the coefficient matrix of the state equation and the electric separability of the network or the electric accessibility of the network for the first time, acquiring sufficient and necessary conditions that coefficient matrix of the state equation is reducible. Network Graph Theory, Matrix Theory and System Theory over F etc are used to derive the structural controllability criterion of the passive network over F for the first time. Then according to these theoretic results, the structural controllability problems of the active network over F are studied, acquiring several structural controllability conclusions of the active network.

率先将状态方程的输入可达、矩阵的Coates图、流图传输系数等概念和方法引入到对F上有源电网络的研究，研究了网络状态方程的系数矩阵的可约性与网络电气可断性或电气可达之间的关系，研究了F上有源电网络的能控性问题，获得了状态方程的系数矩阵可约的充分必要条件、F上有源电网络系统的结构能控性判据等新的结论。

For the characteristics of closed chain with redundant coordinates, the Routh equation was applied to developing a dynamic model of the biped robot with heterogeneous legs to which the relationship between force and moment of the two legs are evaluated, thus giving dynamically the direct and inverse solutions to the Routh equation.

针对这一闭链并含冗余坐标的完整系统的特点，采用罗司方程建立了异构双腿行走机器人动力学模型，给出了异构双腿关节运动和力矩之间的关系以及动力学正逆问题的求解方法，并利用典型步态数据对所建模型进行了仿真计算。

In this few decades, scholars paid attention to the research of Bragg reflection in regular waves. Thus, this study aimed to discuss the Bragg reflection in irregular waves. EEMSE is a numerical model based on evolution equation for mild-slope equation developed by Hsu et al.

以往关於系列潜堤之布拉格反射研究，在规则波方面的理论、数值研究与分析都渐趋成熟，而实际应用於海岸保护时需考虑波浪为不规则波，因此本文之重点在於探讨不规则波下之布拉格反射。

First, an appropriate regularizer R is chosen to weaken the ill-condition of the normal equation based on TIKHONOV regularization method, according to the characteristics of the normal equation formed by DD phase observations of the single frequency GPS receivers.

在分析病态法矩阵结构特性的基础上，基于TIKHONOV正则化原理，提出一种选择正则化矩阵R的新方法，减弱法方程的病态性。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。