查询词典 perturbation function

We fit the anisotropic interaction potential based on the Murrell-Sorbie potential function for He-HCl system by applying the interaction energy data, which are calculated at the theoretical level of the single and double excitation coupled-cluster method with noniteractive perturbation treatment of triple excitation CCSD. The new potential model is compared with other potential models. The differential scattering cross sections for collisions between He atoms and HCl molecules are calculated by using CC (Close-Coupling) method. Furthermore, the changing regularity of the inelastic differential scattering cross sections is summed up.

根据在CCSD/aug-cc-pVQZ理论水平下计算的He-HCl相互作用能数据，作者采用Murrell-Sorbie势函数形式拟合了He原子与HCl分子相互作用的各向异性势，并与其它势模型进行了比较；然后采用公认的精确度较高的CC近似方法计算了He-HCl碰撞体系的微分散射截面，总结了非弹性微分散射截面的变化规律。

It also researches the application of variational method to solve the perturbation function in the energy principle.

本文还探讨了变分方法在求解能量原理中的扰动函数的应用。

Both a free volume approach for Helmholtz free energy and a theoretically-based fitted formula for radial distribution function of hard sphere solid were employed to describe the Helmholtz free energy of Lennard-Jones solid in the framework of first order thermodynamic perturbation theory.

结合描述硬球固体Helmholtz自由能的自由体积方法与描述硬球固体径向分布函数的拟合的分析表达式与一阶热力学摄动理论，用于描述Lennard—Jones固体的Helmholtz自由能。

Since an analytic function can be arbitrary approximated by a polynomial, the provided methods can be applied to robust stability analysis of polynomial family with general non-linear perturbation parameters.

由于非线性解析函数可用多项式任意逼近，故该方法也可用于具有一般非线性参数摄动的多项式族的鲁棒稳定性分析。

The dissertation focuses on performance gradient estimation and SRO algorithm of DES aswell as other related topics,such as modeling of DES and discrete event simulation,performancemeasure Hessian matrix estimation,Stochastic Approximationand so on.General Semi-Markov Processis adapted to describe behaviour of DES and discrete eventsimulation.A general result is obtained and applied to analyze strong consistency of performancegradient Perturbation Analysisestimator.Conditions for effectiveness of InfinitesimalPerturbation Analysisare also discussed.New PA algorithms,such as server PA,PA usingDirac generalized function,job sequence PA etc.,are proposed to deal with discreteparameters.Furthermore,strategies of combining PA algorithms with certain iterative rules areanalyzed widely in order to optimize DES parameters and some SRO algorithms are constructed toslove DES optimization problems.

论文将DES性能分析领域中性能梯度估计和单运行仿真优化作为主要的研究对象，探讨了与性能梯度估计有关的DES和离散事件仿真过程建模、高阶导数估计以及随机逼近等理论和方法；建立了具有一般性的DES和离散事件仿真的广义半Markov过程模型；获得了分析性能梯度估计量强相合性的理论结果和无穷小摄动分析算法应用的条件；提出了诸如服务台数目的摄动分析、奇异摄动分析、串联生产线和加工车间中工件加工序的摄动分析等一系列摄动的思想和算法，对连续参数和离散参数都进行了深入的研究；对摄动分析算法同优化规则结合实现仿真优化的策略也进行了广泛的分析，构造了新型的变界截尾的随机逼近算法，并用于DES的单运行仿真优化研究；最后，给出了DES性能分析方法的实证性研究结果。

The structure function of residual wavefront phase perturbation compensated by an adaptive optics system has been derived by means of frozen turbulence hypothesis and geometric optics approach.

在采用冻结湍流假设和几何光学近似的条件下，得到了经自适应光学系统校正后的剩余波前相位扰动的结构函数。

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

Based on mathematic operation function of ANSYS parametric design language, reliability calculation of component was realized by programming with APDL according to the perturbation method of reliability theory.

基于ANSYS参数化设计语言的数学运算功能，运用可靠性理论的摄动分析法，利用APDL编程实现零件的可靠度计算，避免了有限元建模、分析和结果的参数化提取等步骤。

The results of numerical experiments, using the four-dimensional variational data assimilation system of the nonhydrostatic mesoscale model MM5, show that: the tangent linear model and adjoint model conducted by keeping the "on-off" switches the same as the basic state, can provide a good approximation of the first-order information to the NLM perturbation and a good descent direction for the minimization procedure; switching on and off at every other time step in the Kuo cumulus parameterization scheme don"t impact the convergence rate of cost function; the existence of the switches don"t impact improvement to the MM5 model rainfall prediction because that not only specific humidity ,but also wind, temperature and pressure are assimilated into the model.

非静力中尺度数值模式MM5的四维变分资料同化系统进行的数值试验结果表明："开关"变量保持与基态一致，所构造的切向线性模式能够提供关于非线性模式扰动的一阶近似，伴随模式所计算的梯度值能够为最小化过程提供较好的下降方向；郭氏降水参数化方案中对流每隔一个积分步的交替发生并不影响目标函数最小化的收敛速度；"开关"变量的存在也不影响将风、温度、气压和比湿结合起来同化对MM5降水预报准确性的提高。

As the use of the depicting, the problems of smoothing and perturbation of reliability function are studied.

作为这种刻画的应用，讨论了可靠度函数的修匀和摄动问题。

Effective local search tactics reaches local searchers when they are ready to buy - with every way that it is possible for them to buy from you.

有效的地方搜索策略达到当地的搜索，当他们准备购买-以各种方式，这是他们有可能从您那里进行购买。

The first two are periodic sentences for their beginnings; and the fifth and the last are also periodic sentences each for the embedding of a parenthetic structure.

1960年代中后期，当战后女权主义和当时的许多其他抗议运动在西欧和北美发展成某种势力时，性别的概念演绎成补充和延伸生物性别差异的概念。