查询词典 perturbation theory

Firstly, the quasi axis-symmetr y problem is analyzed by means of the couple stress theory and the perturbation method.

在考虑转动梯度效应的基础上，对界面附近的应力状态进行了研究。

A new method for analyzing loss characteristic of non-ideal waveguide is presented based on the principle of transverse resonance and the theory of perturbation.

分析非理想波导的损耗特性是微波工程中很重要的实际问题之一，对它的精确求解往往和波导元件及微波系统性能的分析紧密相关。

The matrix decomposition plays very important role in matrix theory,especially in the study of perturbation analysis of matrices.

矩阵分解在矩阵理论中有着极其重要的作用，尤其在矩阵的扰动理论研究中。

The calculation of the rotordynamic coefficients of a multistepped annular seal in hydraulic turbines is discussed in this paper. Based on the Hirs' turbulence lubrication theory and the bulk flow model, the governing equations for the flow in the seal are developed by using the Moody's friction equations. The governing equations are perturbed when the rotor and the stator are coaxial. The Runge Kutta integration method and the Newton Raphson iteration method are used to solve the perturbation equations....

本文首先在Hirs紊流润滑理论的基础上，采用体积流动模型及Moody摩擦方程建立起阶梯口环水封中流体流动的控制方程，将各个方程在转子与定子同心处进行摄动，采用Runge－Kuta积分法及迭代过程求解摄动方程，建立起水轮机阶梯式口环水封的转子动力特性系数的计算方法，为水轮发电机组轴系的动力学分析提供了必要的理论基础。

We present quantum mechanical vibrational computations beyond the harmonic approximation from effective second order perturbative and variation perturbation treatments defined as static approaches, as well as vibrational analysis from density functional theory molecular dynamics trajectories at 300 and 600 K.

利用超简谐振动近似的有效二阶微扰法(VPT2)和变异微扰法两种静态方法，以及在300和600K下的密度泛函分子动态轨线振动分析方法进行量子力学的振动计算。

The soliton perturbation problem is an important part of the soliton theory.

孤子的微扰是孤子理论中最有实用价值的重要内容。

At last, about how to improve teaching stationary state perturbation method is briefly reviewed on base of modern teaching theory and self-study experience.

最后结合现代教育理论及本人的学习体会就如何搞好定态微扰论的教学进行了简单阐述。

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中，我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究，解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题，恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族，建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理，获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理，得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果，获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件，从实质上推广了现有的相关结果；得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理，还建立了一系列其他研究结果。

The algorithm is based on the tensor expression of the second-order nondegenerate perturbation formulae of Bloch wave method of many-beam dynamically diffraction theory.

这些数据以被收录到新版《X-射线国际晶体学表》的C卷中。完善了高能电子衍射的非简并微扰理论的张量表述。

Based on the crystal field theory, perturbation formulas of the spin Hamiltonian parameters g-factors (fourth-order) and the hyperfine structure constants (third-order) of 3d9 ions under tetragonal symmetry are established for the cases of small spin-orbit coupling coefficients and large spin-orbit coupling coefficients of the ligands.

本文基于晶体场理论，在较统一的理论模型和计算方法基础上运用微扰法分别对配体旋轨耦合系数较小和配体旋轨耦合系数较大的情况建立了3d9离子的自旋哈密顿参量g因子的四阶微扰公式和A因子的三阶微扰公式。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。