近似积分

In order to calculate the coulomb potential scattering, the path integral is investiged in momentum space .

在合理的近似下，通过在动量表象中计算路径积分，较为方便地求出了库仑散射的相移表达式。

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

Under small-scattering approximation the diffraction integral equation for determining distribution of diffracted light field is presented. Comparision is made with coupled wave theory and K.

本文首次将不均匀物体对光的散射过程引入到体全息图对再现光的衍射过程，在小信号近似下获得了衍射光场分布的积分方程，并与耦合波理论及K。

In this paper, the theoretical model of CQI is described in an atom-diatom system in the condition of the molecular beam, based on the first-Born approximation of time dependent perturbation theory, taking into accounts the anisotropic Lennard-Jones interaction potentials. The method of observing and measuring correctly the differential interference angle is presented. The relation between differential and parameter, velocity is obtained. The relation of the integral interference angle and temperature is discussed.

文中利用一阶含时波恩近似和L-J相互作用势，建立了原子-双原子分子碰撞系统转动传能的量子干涉模型，描述了观察和测量微分干涉角的方法，得到了微分干涉角与碰撞半径和碰撞速度间的关系，同时也得到了积分干涉角和实验温度的关系。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

Based on Collins integral formula and the expansion of the hard aperture function into a finite sum of complex Gaussian functions,the approximate analytical expression of the diffraction field of Gaussian beam by a circular disc is derived,and its characteristics are analyzed by the numerical calculation and numerical simulation.

基于圆孔光阑函数展开为复高斯函数和的方法，用Colins积分公式，导出了高斯光束照射下圆盘衍射的光场近似解析表达式，经计算机数值计算，对高斯光束照射下圆盘衍射的衍射特性进行了详细的分析

The approximations can be used as the initial guess and pre-conditioner in the stabilized biconjugate-gradient fast Fourier transform algorithm for computing integral equations, and hence a hybrid DTA-BCGS algorithm with higher efficiency is formed.

这两种近似可以作为计算积分方程稳定型双共轭梯度快速Fourier变换算法的初始猜测值和预条件因子，从而形成效率更高的混合DTA-BCGS算法。

The pulse propagation through fog medium is discussed .The pulse distortion induced by fog is found using method of closed solution for Fourier integral in time domain. It is found that the pulse distortion is affected by the visibility, frequency, pulse width and path length.

在此基础上应用傅立叶时域积分近似解方法对脉冲波通过雾媒质时的传输特性进行了研究和分析，给出了脉冲畸变、频移随频率、能见度及传播距离的变化关系。

Variations of attenuation coefficients with rain rate for MP and LP model are compared under Mie theory and Rayleigh approximation. The approach to the solution of the Fourier integral in closed form is adopted for pulse propagation through rain medium .

在此基础上应用傅立叶时域积分近似解的方法研究了毫米波段脉冲波通过雨介质时，脉冲畸变随频率、降雨率、传播距离及脉冲宽度变化的关系。

For different parameters, the diffraction patterns of the expression of the Fraunhofer diffraction are identical, indicating the correctness of the expression.

在各种参量条件下，近似解析式所表示的衍射图样与严格的夫琅和费衍射积分的衍射图样完全一致，这表明用此解析式表征远场衍射是正确的。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。