查询词典 method of perturbation

Moreover compared with the Taylor series solution, the frequency shifts in our solutions appear in the expression of oscillations of all orders in both classical and quantum cases, so multiple-scale perturbation method is more suitable for solving the weak-coupling anharmonic oscillation than the Taylor series approach.

与Taylor级数解相比较，无论是在经典还是在量子解中频率移动都出现在各阶振动表达式中，所以多尺度微扰解是弱耦合非简谐振动的较好解法。

Based on the small steepness parameter, three-layer incompressible, inviscid and irrotational fluid system of arbitrary depth is discussed by using the perturbation method, and a unified theory of nonlinear interfacial-internal wave propagation and the approximate nonlinear evolution equations for interfacial-internal elevations are given on the basis of the rigid upper boundary and the flat impermeable bottom.

基于波陡很小的假设下，利用摄动法，讨论了任意深度的二维不可压缩、无黏性、无旋的三层流体系统，在刚性上边界、平底不可渗透条件下，给出了界面内波传播的统一理论以及描述界面内波波剖面的近似非线性演化方程，最后还讨论了几种特殊情形下的近似非线性演化方程。

The potential energy surfaces of ground state of He—HBr complex have been calculated at several levels of theory, including the single and double excitation coupled-cluster method with noniterative perturbation treatment of triple excitation CCSD.

在用非迭代的三重激发项来校正CCSD的CCSD理论水平下，采用aug-cc- pVQZ基函数对He—HBr的分子间势进行了系统的研究。

In this paper, the current states of research about the basic theory of stationary state perturbation method are firstly reviewed, on base of them, and studied some physics issues mainly about hydrogen atom. The stark effect of the energy level (n = 4) of hydrogen atom is calculated and the stark effect of three dimensional hydrogen atom is discussed by the use of the parabolic coordinates, then the perturbative matrix elements for each energy level are given.

本文首先综述了关于定态微扰论基本理论的研究现状，在此基础上利用定态微扰论对某些物理问题，主要是对氢原子问题展开了研究，计算了氢原子n=4能级的斯塔克效应，并利用抛物线坐标法求解了三维氢原子的斯塔克效应，给出了氢原子斯塔克效应中微扰矩阵元的普遍公式。

An approach to controlling chaos with linear-quadratic regulator is proposed according to the idea of OGY method, which is based on the linear analysis and control of the dynamics of the system in a Poincare section with parameter perturbation.

从OGY方法的参数微扰混沌控制思想出发，提出了基于线性二次型最优调节器的混沌控制方法。

R. t routing changes is also studied, a transformation method for the calculation of sensitivity of sojourn time w. r. t routing changes is presented. The problem of calculating the performance sensitivity w. r. t buffer siaes in general queueing networks is also solved by using finite event time perturbation analysis.

对计算性能指标对路径概率灵敏性的转换法也进行了研究，提出了一种计算逗留时间对路径概率灵敏性的转换法，本文还应用事件时间摄动的有限摄动分析解决了一般排队网络的性能指标对缓冲器容量灵敏性的计算问题。

To study local influence of the data cases on the Score statistic for the test of varying dispersion in the nonlinear model of simplex distribution, this paper develops the local influence on the score test statistic under perturbation in the response variable and explanatory variables based on gradient method.

为了研究数据对于单形分布非线性模型变离差检验的Score统计量的局部影响，该文利用梯度方法分别研究了因变量及自变量的微小扰动对于该模型的Score检验统计量的局部影响，相应得到了度量最大局部影响的诊断统计量。

The permittivities of N, N-dimethylformamide, water (H2O), and DMF-H2O mixture solution were measured by a resonant cavity perturbation method at 2.45 GHz and 288, 298, and 313 K. The measured results showed a specific phenomenon wherein the imaginary part of the solution's permittivity was larger than that of each of the components.

在288、298和313K三个温度和2.45GHz频率下利用微扰谐振腔法测量N，N-二甲基甲酰胺、水(H2O)及其混合溶液的等效介电常数过程中，发现了混合溶液介电损耗虚部大于其中任一组分的介电损耗虚部的特异现象。

In consideration of the nonlinear characters of driving chain, with the general perturbation method, the asympototical solution to the nonlinear dynamic equation of the valve train with multinomial timing cam of symmetrical type is reached in this paper.

本文在考虑到传动键的非线性特性情况下，用普通小参数法求出了具有对称多项式凸轮的配气机构气门的渐近解。

This parameter canaccurately describe the degree of concentration of vibratory energy of the systemmodal shape in quantity. Using this parameter, the effects of mistuning on thelocalization of system modal shapes for various orders are studied. The reasons of themodal localization phenomenon are analyzed by the perturbation method.

利用所提出的模态局部化参数，研究了失谐对叶盘系统各阶模态局部化程度的影响规律，并利用摄动法对失谐所导致的模态局部化现象进行了分析；同时还发现，失谐叶盘系统的某些中间阶模态的局部化参数值在弱耦合区域的特定位置会产生奇异的突变现象，而这种突变现象是用摄动法难以解释的，并且可能会对失谐叶盘系统的振动稳定性产生重要影响。

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。