查询词典 Hermite polynomial

The result is independent of coherent length and order number of Hermite polynomial, and the strength of turbulence.

电磁高斯-谢尔模型光束通过湍流大气传输时光束偏振度的变化作为所得结果的特例给出。

To solve above problems, a new method has been created in this paper: to construct a Hermite polynomial approximation of the objective function by FE solution using the sensitivity idea.

因此，本文提出在进行若干次电磁场数值计算之后，利用目标函数值和目标函数对设计变量的灵敏度建立目标函数的计算方法。

Some identities on Hermite polynomial are obtained as well.

同时得到有关埃尔米特多项式的2个等式。

The applied result shows that the new PP regression model based on particle swarm optimization and Hermite polynomial fitting is simple in use, fast in computation and effective in optimization. This algorithm may serve as a useful tool in synthetic earthquake prediction study.

通过计算和分析表明，基于粒子群优化算法与厄米多项式构建的投影寻踪回归模型具有简单、快速、有效的特点，在实际地震综合预测建模中取得了满意的效果，可作为地震预测的一种综合分析方法。

Adopting Hermite polynomial in stead of Taylor expansion has greatly decreased the order of the high-order cross sensitivity.

利用埃 尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

Adopting Hermite polynomial in stead of Taylor expansionhas greatly decreased the order of the high-order cross sensitivity.

利用埃尔米特插值逼近函数代替泰勒展开式，使目标函数对几何参数高阶交叉灵敏度的阶数大为降低，减小了计算代价。

Based on particle swarm optimization and Hermite polynomial fitting. Then the improved PP algorithm is applied to synthetic prediction modeling of poly-dimensional seismicity time series and general disordered seismic data samples.

利用数值仿真技术进行基于粒子群优化算法与厄米多项式构建的投影寻踪回归模型建模能力与计算精度的检验，再将其应用于多维地震时间序列和一般多维无序地震样本回归综合建模预测中。

The main procedures are as following: to generate small increment of parameters automatically and to calculate the FE several times and obtain the sensitivity of objective function to the parameters, and then form a Hermite polynomial approximation, the calculation of FE solutions are substitute by the calculation of polynomial approximation, so time cost decreases dramatically.

用n维埃尔米特插值技术建立设计变量在可行域上的目标函数的逼近函数；将局部寻优的梯度算法和全局寻优的随机算法结合起来，大幅度地降低寻优过程中电磁场的计算次数。

By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form.

同时本文利用SU(1，1)代数将二维、三维情况下的谐振子同加了反平方势的氢原子分别表示成具有相同形式的两算符下的本征值方程，从而得出

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。