查询词典 perturbation function

Secondly, we present the general procedure of our approach and its major characteristics. In the second chapter, we establish the perturbation theory for the nonlinear Schrodinger equation, and study its specific perturbation.

第二章给出了关于非线性薛定谔方程的微扰理论，并通过具体工作来说明我们的基于直接微扰理论的两种不同的思路方法。

Fig.6 Images reconstructed of the semispherical head phantom with and without a homogeneous "skull"approximate positions of perturbations, using a 29 mm diameter plaster rod as a perturbation and using a 16 mm diameter cylinder made of copper sheet as a perturbation.

图6扰动在半球形头模型中的大概位置；扰动目标为直径29 mm的石膏柱；扰动目标为直径16 mm铜管

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。

Then,we presented an analytical method to solve the dynamic stresses and perturbation of magnetic field vector under thermomagnetic shock,and obtained the response histories and distributions of the dynamic stresses and the response histories of perturbation of magnetic...

提出一种解析方法求解在热磁冲击作用下厚壁圆筒的动应力和磁场矢量扰动，得到柱体内动应力响应历程和分布规律及磁场矢量扰动的响应历程和分布规律。实例计算表明该方法是简单、有效的，并给出了一些有实际意义的结果。

The comparison of the simulations of the same perturbation in 2D and 3D shows that both are similar before the perturbation arrives at 7 solar radii, and that both have the observed three parts of the classical CMEs. However, the reflecting effect of the adopted boundary conditions at both poles in the 3D simulation has a significant effect on the simulation of more hours, and causes unphysical changes in the polar region, such as the enhancement of density and the change of the magnetic field topology.

从对相同扰动的二维和三维模拟结果的对比来看，在扰动到达7个太阳半径之前，模拟结果相似，都可以模拟出CMEs事件的三部分观测特征，但是三维模拟采用的两极边界条件存在的反射效应，对更长时间的模拟有明显的影响，在两极产生密度增强和磁场位形发生较大变化两个非物理扰动。

In order to give a clear description of the Stark effect of Ba atom, a theoretical study based on the perturbation theory have been carried out, results of which are satisfactory in the weak-electric-field region but unsatisfactory in the strong-electric-field region,indicating the unsuitability of the perturbation theory in this region.

为了更好的解释所观察到的光谱现象，并对Ba原子Stark效应的物理内含进行深入的了解，我们用量子微扰理论对Ba原子在电场下的Stark能级分裂情况进行了理论分析。

The improved variational-perturbation method based on integral equation (variational-integral perturbation method) is applied to solve the quartic anharmonic oscillator in the ground state.

利用基于积分方程的改进的变分微扰方法求解四次方非谐振子基态。

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。

Based on the fundamental theory of the cable-prestressed steel truss established in paper [1], the inversive iterative perturbation equations which can be used to determine the stiffeness of elements of the prestressed steel truss with elastic supports are put forward by using the principle of matrix perturbation and introducing the concepts of the combined elements and stiffeness factors.

本文基于文献[1]所建立的拉索式预应力钢桁架基本理论，通过引入组合单元和刚度变化因子，利用矩阵摄动原理建立了以结点竖向位移为约束，以确定弹性支承多次张拉预应力钢桁架各类单元刚度为目标的反演摄动迭代方程。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

The upper front part of a saddle;a saddlebow.

前鞍桥马鞍前面的上部分；前鞍桥