查询词典 method of perturbation

Using a perturbation method, these linearized equations are solved for a composite sphere with the charge densities of the rigid core surface and of the surface layer as the small perturbation parameters. Analytical expressions for the settling velocity and electrophoretic mobility of the composite sphere in closed form have been obtained from a balance among its hydrodynamic, electrostatic, and/or gravitational forces.

以复合粒子之固体核心表面的电荷密度和多孔性表面层内的固定电荷密度为二个微小扰动参数，应用正规微扰法来求解这些已线性化之主导方程式，再藉平衡作用於复合粒子的重力、静电力和流体阻力等三种力后，可得到带电球形复合粒子的沉降速度及电泳可动度的解析形式表示式。

In this paper,We use the singular perturbation theory and method to study the two types of singular perturbation problems with fractional derivative.

本文应用奇异摄动理论和方法研究了含有分数阶导数的两类奇异摄动问题。

In this paper, a high order accuracy difference method is presented for solving unsteady convection diffusion equation by using Implicit Perturbation Finite Difference scheme. Firstly, we use the steady convection diffusion equation, the constant coefficients of this equation are expanded to power series of grid-spacings, then the high-order Perturbation Finite Difference scheme is obtained by determining the coefficients of the power series. Put this scheme on unsteady convection diffusion equations and modified it, the IPFD scheme is constructed.

本文利用摄动差分思想，对定常对流扩散方程中的空间微商系数进行摄动展开，展开幂级数系数通过消去摄动格式修正微分方程的截断误差项求出，由此获得方程的隐式摄动差分格式，将此方法应用于非定常对流扩散方程，并加以修正，得到该方程的修正隐式摄动差分格式。

Moreover, the choices of the singular perturbation parameter are studied, and a new simple and convenient method to estimate the bound of the singular perturbation parameter is designed.

此外，本文还研究了奇异摄动小参数的选取，提出了一种新的简单易行判定稳定性界的方法。

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu,et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

条件非线性最优扰动是Mu等2003年提出的一个新的理论方法，它是线性奇异向量在非线性情形的推广，克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷，成为非线性系统可预报性和敏感性等研究新的有效工具。

The conditional nonlinear optimal perturbation is a new theoretical method proposed by Mu , et al in 2003, which is an extension of the linear singular vector to nonlinear regimes. It has become a powerful tool to study some issues of nonlinear systems like predictability, sensitivity and so on, because it overcomes the defect of LSV for not representing the fastest developing perturbation of a nonlinear system.

摘要条件非线性最优扰动是 Mu 等2003年提出的一个新的理论方法，它是线性奇异向量在非线性情形的推广，克服了线性奇异向量不能代表非线性系统最快发展扰动的缺陷，成为非线性系统可预报性和敏感性等研究新的有效工具。

To introduce perturbation corrections of lattice strain intosemiempirical MO calculations,we have written out the programs,STRAIN+SPHF,for calculating perturbation corrections of lattice strain,based onsemiempirical MO calculation program package MOPAC3.0.In principle,the theoretical method and program for calculating corrections of latticestrain can be employed for the studies of growth mechanisms for diamondfilms or other non-metallic films on any non-metallic heterogenic substrates.

运用引入晶格应变修正的AM1半经验分子轨道方法和不包含该修正的AM1方法，通过在Si(100)和(111)衬底表面上提取H原子以及CH3和C2H2吸附过程的计算比较研究，发现包含应变修正的结果比不包含该修正的结果更准确地描述了Si衬底上发生的化学反应过程，并且还能够揭示出无应变修正结果中没有揭示出的表面物理化学现象。

According to the structural properties of tuning blade-disk assemblies, the matrix perturbation method is used to analyze the influence of mistuning on the natural vibration characteristics. The formulas for perturbation values of first and second order are derived.

根据谐调叶盘的结构特点，用矩阵摄动法分析了失调对叶盘固有振动特性的影响，推导了孤立特征值和密集模态组二种情况下固有频率和振型的一阶、二阶摄动计算公式。

Moreover,in this dissertation,a method ispresented to control safe basin with the fractal erosion,that is by the application ofthe weak parameter periodic perturbation with an optimal frequency to control thefractal erosion basin,and the analytical study shows that the essence of the methodis that the parameter periodic perturbation can be used to delay the occurrence ofhomoclinic tangencies.

并且在本文提出了一种对分形侵蚀安全域进行控制的方法，那就是应用具有最优频率的参数周期扰动对于已受到分形侵蚀的安全域加以控制，在理论分析中得到这种控制分形侵蚀安全域的方法实质上延缓了鞍点同宿相切的发生，同时考虑了外加噪声对控制后安全域的影响，得到这种控制方法具有很好的鲁棒性。

Introducing the method that analyzes the dynamic stability of airplanes in the aviation, the small perturbation non-dimensional linearized motional equations were develped in detail based on the small perturbation theory and quasi-constant assumption, the distinguishing rule and quality judgement criteria of dynamic stability are set up in this section.

引入航空中飞机运动稳定性方程的处理方法，运用小扰动理论，详细推导了HYSWAS的小扰动无因次线化运动方程及其特征方程，提出了HYSWAS运动稳定性判别准则以及运动稳定性品质的评判指标

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。