近似方法

Methods The factorization approach is incorporated, and the ensuing statistics is derived.

采用分解近似的方法。

By using slowly-varying envelope approximation, a family of solutions of the paraxial wave equation are found in theory, which represents a new family of ultrashort pulsed beams called ultrashort pulsed complex argument Sinc-Gaussian beams.

杨振峰 河北科技大学经济管理学院，石家庄 050018杨振军河北师范大学物理学院，石家庄 050016胡巍华南师范大学传输光学实验室，广州 510631利用理论解析推导的方法，在傍轴近似条件下，给出了一组新的超短脉冲光束的解析解，称为超短脉冲复宗量辛格高斯光束。

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

By using the method of expanding the aperture function into a finite sum of complex Gaussian functions, approximate closed-form propagation equations of TMn0-Gaussian beams diffracted by hard-edged parallelogram aperture s are derived.

通过将硬边光阑函数展为复高斯函数之和的方法，在直角坐标系下研究了TMn0模高斯光束通过有平行四边形光阑的衍射，得到了近似的解析传输公式。

The method of calculating the internal force envelope of cable-stayed bridge by first order theory, multiplied by a modification factor for considering second order effect, is not adequate enough.

用一阶理论的内力包络图值乘以近似二阶增大系数的方法来设计斜拉桥的主梁尚欠合理。

At the end of the dissertation, some more basic questions of the formalization of macroeconomic theories are put forward and discussed.

本文最后对用数学模型的方法分析经济系统时所遇到的近似的合理性、方程表述的规范性和不同层次间的统一性有关宏观经济理论形式化方面的基础性问题进行了讨论和思考。

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。

First of all, the method of Fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback. The bifurcation direction and the stability of the bifurcating periodic solution are also determined.

首先，用Fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的Hopf分叉，得到了局部分叉周期解的近似表达式，确定了分叉解的分叉方向及稳定性。

The second kind of Fredholm integral equation of the single pile in layered saturated viscoelastic soil is obtained through the fundamental solutions.

然后对所得的积分方程进行Laplace变换，得到变换域内的积分方程，对变换域内的积分方程采用Schapery逆变换方法得到时域内水平单桩的近似积分方程。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。