查询词典 perturbation function

According to the perturbation theory, a distribution law of matrix element in secular equation is discovered in degenerate state and wave function property of the hydrogen atom.

根据简并态微扰理论和氢原子波函数的性质，得到久期方程中微扰矩阵元的分布规律。

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

This paper aims to examine a class of the problems of third order nonlinear boundary value of singular perturbation by way of transforming unknown function.

以变换未知函数的方式研究一类奇摄动三阶非线性微分方程边值问题，在适当条件下，构造出问题的上下解。

The approximate stationary probability density function for the response of multi-degree-of-freedom dissipated Hamiltonian systems to Poisson white noises are obtained by solving the four-order generalized Fokker-Planck-Kolmogorov equation using perturbation approach.

通过用摄动法求解四阶广义福克－普朗克方程，得到泊松白噪声激励的多自由度耗散的哈密顿系统的近似平稳响应概率密度函数。

Based on the mind of perturbation,a method which combines transitive closure method with the objective function method is introduced,and the steps of the method is presented.

分析了传统的模糊聚类方法，基于摄动思想，将传递闭包聚类法与目标函数法相结合，得出了一种既满足聚类效果要求又减小聚类失真的简便算法，同时给出了该聚类方法的步骤。

In the meanwhile, the TS characteristics of a scattering particle and their relationship are studied when it is passing through the scattering area, In addition to this, the distribution function of particles' shape is defenited in terms of math's method and a new method is putout of which the distribution of particles' shape is captured in according to the power spectrum and spectral distribution characterist of light scattering and finally, the utility of the perturbation ameliorating method and the effect of the particles' shape is modified, so far, the accuracy of measurement of the particles' size is improved effectively.

对此，本文在以Mie散射理论为原理，依据前向接收器接收的前向散射光信息以获取微粒大小信息的测量基础上，对微粒穿越光敏区时的时域与空域的特征以及相关性开展了研究，从数学上定义了微粒的形体分布函数，提出了一种依据光散射功率潜和频谱分布特征来获取微粒形体分布信息的方法，完善了微扰修正理论的应用性，有效地改善了形体的影响问题，从而可提高微粒粒度分布测量结果的准确性。

A mixed sensitivity H∞ control model is constructed and the band width of wind turbine speed control is designed according to the frequency characteristic of wind speed variation and noise of rotating speed sensor. The sensitivity function is decreased within this frequency band to restrain the wind torque perturbation to wind turbine rotating speed control.

通过构造基于复合灵敏度的H∞鲁棒控制模型，根据风速的波动频率范围和传感器的噪声频率范围设计了风车转速控制的带宽，并在此带宽内降低系统的灵敏度函数，来抑制风力转矩对风车转速控制的干扰。

The disturbing torque caused by carrier perturbation in the control system of seeker stabilized platform and the swing caused by sight angular angle were analyzed, the influence o f selection of different output dot of sight angular speed on sight angle and decoupling and the requirement for cont rol system transfer function were analyzed.

在稳定平台控制系统中分析了载体扰动产生的干扰力矩及对视线角引起的摆动，分析了选择不同的视线角速度输出点时对视线角速度、隔离度的影响及对控制系统传函的要求，为选择电机输出力矩、选择陀螺量程及控制系统传函的设计提供了理论依据。

Under the precondition of assuming the stock price did not following the famous geometric Brown law, and agents have no exact knowledge of the probability distribution for the uncertain economic shock and return rate perturbation, chapter five presents the uncertain dynamic models of portfolio choice and option hedging respectively. In this chapter, we define the H〓 norm of transfer function from disturbance input to control output as financial risk measurement, and investigate the risk-attenuating robust H〓 portfolio investment and option hedging strategies.

第五章在金融证券价格并非服从几何布朗运动，收益率波动和外部噪声扰动的统计特性未知的情况下，分别建立了金融经济领域证券组合投资及期权套期保值问题的动态模型，引入从扰动输入到评价输出传递函数的H〓范数作为金融风险的度量指标，运用鲁棒H〓控制技术，研究了抑制金融风险的动态证券投资和期权套期保值决策问题。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。