Firstly, the state variables of the reentry vehicle are decomposed into two sub-systems of different time scales using the singular perturbation theory.
首先，利用奇异摄动理论对再入飞行器状态变量进行两个时间尺度的划分，将系统状态方程分解成两个低维子系统。
The linear time perturbation theory is used in this paper, the effects of rotary flow, axial flow and both of them to the arc stability are discussed respectively.
本文采用与时间有关的线性微扰理论，分别讨论了旋转气流、纵向气流的作用，以及它们共同的作用下电弧螺旋不稳定性的特征。
To solve the stability analysis problem arising from the integral term, we employ the singular perturbation theory to analyze the stability of the resulting closed-loop system.
闭环系统的稳定性证明采用了奇异扰动理论，以解决积分项的存在带来的稳定性分析问题。
Using the second order perturbation theory, the formulae of vibrational force constants are derived in part one.
运用二阶微扰理论，本文第一部分首先计算了高阶力常数的表达式。
Using the negative eigenvalue theory and the infinite order perturbation theory, we calculate numerically the eigenvalues and the eigenvectors of the electronic states.
利用负本征值理论及无限阶微扰理论，对系统电子的本征值和本征态进行了数值计算。
The electronic and ionic polarizing process were researched by the perturbation theory of quantum mechanics.
利用量子力学的微扰理论研究电子和离子极化过程。
A surface equation of state for ionic surfactant aqueous solutions is also developed by combining perturbation theory and pressure equation.
将微扰理论与压力方程相结合，建立了离子表面活性剂水溶液的表面状态方程。
A brief review by the progress of advanced statistical mechanics, integral equation and perturbation theory for electrolyte and non-electrolyte solutions in recent years is presented.
用近代统计力学研究成果——积分方程理论和微扰理论简要评述了电解质和非电解质溶液的国内外研究进展。
The instantunous change and heat-insulation approximation, and the condition of founding them, are dissused with time dependent perturbation theory in this paper.
本文由含时微扰理论出发，讨论了瞬变近似与绝热近似以及成立的条件。
Using two-flow model, small perturbation theory and solvable conditions of one-order linear equations, a dispersion equation of pressure wave in horizontal air-liquid bubbly flow was proposed.
利用两流体模型、小扰动原理和线性一阶齐次方程组有解的条件，得到了气液泡状流型下的压力波色散方程。
Timing jitter of ultrashort solitons propagating in dispersion-decreasing fiber (DDF) is analyzed through perturbation theory.
通过微扰理论分析了超短孤子在色散缓变光纤(DDF)中传输的时间抖动。
When atoms and molecules are radiated by ultra intense laser pulse, a series of new non-linear phenomena which can't be interpreted by perturbation theory appears.
实验表明在超强超短激光脉冲的作用下，原子分子会出现一系列微扰理论无法解释的新现象。
The relationship between physically observable quantities and perturbed wave vector is explored on the basis of BBGKY hierarchy equations and the second order perturbation theory.
基于BBGKY方程，采用二阶扰动理论探索了可观物理量与扰动波矢的相互关系。
A matrix perturbation theory in the partial inverse scattering of two-dimensional lossy dielectric cylinder is presented.
本文提出二维有耗介质柱局部逆散射的矩阵摄动理论。
By using the approach of basic operator theory, a left multiplicative perturbation theorem of Cregularized resolvent families is proved.
应用算子理论方法，给出了一个C -正则预解族的左乘积扰动定理。
A surface equation of state for nonionic surfactant aqueous solutions is developed by using perturbation theory and two - dimensional gaseous theory.
应用微扰理论并借鉴二维气体理论的处理方法，建立了非离子表面活性剂水溶液的表面状态方程。
Perturbation theory indicates that small perturbation of the coefficients could lead to the big perturbation of the root.
摄动理论显示，对于特征方程系数的小幅度扰动即可导致根的大幅度变化。
With the notion of effective exergy drop based on equivalent enthalpy drop theory, mathematic models of exothermic steam perturbation effect on the whole thermodynamic system were founded.
基于等效焓降理论提出了有效降的概念，建立了当抽汽量扰动时对整个热力系统影响的数学模型。
Taking the uncertainty of driver parameters into account, the dynamic response of driver-vehicle closed-loop system is analyzed based on the preview follow theory and stochastic perturbation method.
基于预瞄跟随理论，本文应用一般随机摄动法，对考虑驾驶员不确定性的人-车闭环系统进行响应分析。
By using liquid crystal continuum theory and perturbation principle, we obtain the expression of switching-on time constant and switching-off time constant for simplified HAN-FFS mode.
根据液晶的连续体理论及微扰原理得出HAN -FFS简化模型的上升时间常数和下降时间常数。
The flight state variables are separated into fast and slow variables in terms of perturbation theory.
根据奇异摄动理论将受控变量分为快变量和慢变量，然后分别对内环和外环进行设计。
The reactivities and selectivities of aliphatic and aromatic free-radical(substitution)reactions were explained semi-quantitatively by the perturbation molecular orbital theory.
从而用微扰分子轨道理论半定量地解释了脂肪族的游离基取代和芳香族的游离基取代反应的反应性和选择性。
Combining boundary element method (BEM) with the perturbation theory, this paper presents a perturbation method based on BEM for shape design sensitivity analysis of elastic structures.
本文将边界元方法与摄动法相结合，提出了计算结构响应对其形状改变的灵敏度的边界元摄动法。
Thus, the soliton perturbation theory is of importance for the research into more real nonlinear systems.
因而，孤子微扰理论在研究实际物理系统时具有很大的实用价值。
Based on the theory of surface diffusion, a finite element method was developed to simulate shape evolutions of two-dimensional microcracks with surface perturbation.
根据表面扩散控制下物质迁移规律，建立有限单元法，对裂面形貌扰动下二维微裂纹演变过程进行数值模拟。
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 singular nonlinear elliptic boundary value problem which is very important in applied science and pure theory was discussed by the method of perturbation, sub-and super-solution.
本文利用摄动方法和上下解方法，讨论了一类奇异非线性椭圆边值问题，它具有很好的应用背景和理论意义。
The phonon states of surface and multi-film (AB) interface systems have been studied by using the infinite order perturbation theory for linear systems.
运用线性系统的无穷级微扰论研究了表面和多层(AB)界面系统的声子态。
This essay, Starting from the Calculation of the atomic magnetic moment, approaches the quantum theory of Paramagaetism and diamagnetism by applying quantum mechanics perturbation theory.
本文从原子磁矩的计算入手，按着运用量子力学微扰论方法探讨原子顺磁磁化和抗磁磁化的量子理论。
This essay, Starting from the Calculation of the atomic magnetic moment, approaches the quantum theory of Paramagaetism and diamagnetism by applying quantum mechanics perturbation theory.
本文从原子磁矩的计算入手，按着运用量子力学微扰论方法探讨原子顺磁磁化和抗磁磁化的量子理论。
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