查询词典 perturbation parameter

In chapter four, we developed a direct approach for soliton perturbation based on the Green function, This approch get rid of the proof of orthognality for eigenfunctions in a direct approch for soliton perturbation developed by Yan Jiaren etal.

第四章，发展了一种基于格林函数的孤子微扰理论，克服了颜家壬教授微扰直接法中本征函数正交性证明的困难。

Perturbation theory in physics and engineering technology have been widely used, known as perturbation theory.

摄动理论在物理学和工程技术上也被广泛采用，称为微扰理论。

The exact invariants of the symmetry for the system without perturbation are given. Perturbation to weakly Noether symmetry is discussed and the adiabatic invariants of the perturbed system are obtained.

给出了未受扰动系统的弱Noether对称性导致的精确不变量，讨论了受扰动后系统弱Noether对称性的摄动，并得到受扰动后系统的绝热不变量。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

PID controllers based on the interval polynomial stabilization theorem;2. Not only the H ∞ norm calculating guestion of the robust stability of the mixed-type perturbation in the interval polynomial family is studied, but also the range which can be done is enlarged to that of the more general linearly dependent cofficients perturbation.

本文讨论了不确定性系统的鲁棒稳定性分析问题，不仅研究了区间多项式族混和摄动的鲁棒稳定性中H∞的计算问题，而且将研究的范围从区间多项式族扩展到更具一般性的线性相关系数摄动的系统，以值域断面的几何性特为基础，提出了一种形象直观，简便实用的混和型摄动系统鲁棒稳定性的分析方法。

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。

Aquatic or marsh-growing fern allies; known to have existed since the Cenozoic; sometimes included in Lycopodiales.

生活于水中或湿地的蕨类；从新生代生存至今；有时归于石松目之中。

The engine was uprated from a 90hp Franklin to a 125hp Lycoming.

改良过的引擎是从90hp到125hp莱康明富兰克林。