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MGM is introduced to solve field distributions in 3-D electron optical systems. The difference equation, the discrete form of Laplace's equation, is deduced in 3-D Cartesian coordinates. In view of the smooth effect, MGM combines Gauss-Seidel iteration with a technique known as coarse grid correction. Formulae for restriction and prolongation are deduced and expressed in terms of tensors.

将多重网格法引入电子光学系统中三维静电场的计算，对三维笛卡尔坐标系中的差分方程，采用高斯-赛德尔迭代法求解差分方程组，并结合迭代过程讨论了粗网格的误差校正技术；在不同网格层之间进行场值的限制和延拓，推导了三维静电场中的限制、延拓公式并以张量的形式表示。

In addition, the transformation formulas among many classes of baseline position parameter solution is deduced, and the relation formulas among precisions of many classes of baseline position parameter solution is also deduced in this section.

另外，还推导出了各类基线位置参数解之间的换算关系公式，以及各类基线位置参数解精度之间的关系公式。

Thegeneral study of nuclear structure, including the study of state and the newest development of deformed nucleus, is briefly introduced at the beginning of this article. Bohr quadrupole deformation theory has been deduced in detail. Then based on Bohr model, group kinetic energy and potential energy expression of nuclear in the condition of small deformation was deduced.

本文首先简单介绍了核结构领域的一些研究概况，包括形变核的研究现状及其最新进展，详细推导了Bohr四极形变理论，在Bohr模型基础上(假定原子核是理想不可压缩的无旋流体)，导出原子核在小形变条件下的集体运动动能和势能表达式。

Spectral element methods for partial differencial equation is introduced in this study from viewpoint of the collocation approximation of Chebyshev polynomial. Wave Equation and its space discretization are deduced. Two time integral methods, central difference method and implicit Newmark method, are introduced, and their stability and applicability are also discussed in some details. The significance of absorbing boundary conditions in spectral element methods for Aeroacoustics is explained, and Clayton-Engquist-Majda absorbing boundary conditions is emphasized and introduced, then the discrete scheme of this boundary conditions is deduced and applied to spectral element methods for wave equation.

本文从Chebyshev多项式逼近理论出发，详细介绍了谱元方法求解偏微分方程的过程；推导了流体中的声波动方程并在空间上对其进行了谱元离散；详细讨论了两种时间积分方法──中心差分法和Newmark方法，分析了它们的稳定性条件，并从理论上对比了两种方法的优缺点和适用范围；将吸收边界条件推广应用于谱元方法求解气动声学问题中，重点介绍了Clayton-Engquist-Majda吸收边界条件的原理和公式，推导了该吸收边界条件的变分形式，并将其引入波动方程的离散形式中。

Based on the operational characteristics of vehicles at roundabout, it deduced the roundabout capacity formula of single and dual signal control in the stop line ways,in which the single signal control capacity was deduced from no conflict time and conflict time respectively, based on stop line way the capacity formula of dual signal control considered the ring road parking capacity.

在对单重与双重信号控制环形交叉口车辆运行特性进行分析的基础上，采用停车线法推导出单重与双重信号控制环形交叉口的通行能力计算公式。

First, theoretical analysis methods were used for the static analysis of the suspension bridge. The formulas for endogen force of the asymmetry suspension bridge through elastic theory were deduced and they were contrasted with those of the normal suspension bridge. The basic differential equation of deflection theory was deduced and the method of getting the roots of the equation was offered, and some simplified methods for deflection theory were presented.

推导了非对称式悬索桥弹性理论的内力计算公式，并对比了其与对称式悬索桥弹性理论的内力计算公式的异同；推导了非对称式悬索桥挠度理论的基本微分方程，并且给出了部分均布荷载作用下基本微分方程的试算方法；提出了挠度理论的几种简化计算方法。

The basic features of digital baseline estimation for multi-channel pulse height analysis are introduced. The weight-Junction of minimum-noise baseline filter is deduced with functional variational calculus. The frequency response of this filter is also deduced with Fourier thansformation, and the influence of parameters on amplitude frequency response characteristics is discussed.

介绍了用于多道脉冲幅度分析的数字基线估计方法的基本特点，利用泛函变分方法推导了最小噪声基线滤波器的计权函数，利用Fourier变换导出了数字基线估计的频率响应，探讨了参数取值对其幅频特性的影响。

Special FEM analysis considerations of pantadome system are taken into account in the mechanical theoretical analysis. The problem of initial deformation and initial stress of pantadome, serialization treatment of the FEM results are discussed, the treatment methods of calculate results are deduced, membrane stress and flexural stress of gyrate shell are deduced in this paper.

在攀达穹顶的力学理论分析中，针对攀达穹顶体系的特殊性进行了有限元分析，研究了攀达穹顶体系分析中的初始变形与初始应力问题，对攀达穹项体系有限元计算结果进行了连续化处理，提出了计算结果的连续化处理方法，推导了连续化处理时各个力的求解方法并求解了旋转壳的膜应力和弯曲应力。

In section 1, we noted the distinction between what can be deduced a priori from microphysics alone and what can be deduced a priori from microphysics augmented by the claim that certain microphysical entities are the referents of our words.

在第一节，我们注意到'能从微观物理学单独演推出的东西'和'从微观物理学（加入了那些按我们的语词所指而设定的微观物理学实体）能先天演推出来的东西'的区别。

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

It goes back to what I told you...

现在回到我告诉过你的。。。

With a supporter in Mr Charest and an admirer in Mr Dumont, Mr Harper may be encouraged to call an election himself.

由于在沙雷那边有个支持者，杜蒙那边有个崇拜者，鼓励哈珀为自己举行一次选举。