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Numerical examples show that the ATF elements exhibit excellent performance and some traditional difficult problems appeared in the development of the FEM are solved with them.

数值算例表明，基于解析试函数的广义协调元具有良好的性能，计算精度高，并较好地解决了有限元发展中的几个疑难问题。

In this paper, quantum theory, the use of time evolution operator obtained by the first method for the system density operator of any time, and atomic reduced density matrix, and the atomic dipole squeezing conditions, numerical study of the mixed state -type atom of the three-level with single-mode optical field coherent interaction of atomic dipole squeezing effect.

本文采用全量子理论，运用时间演化算符方法先求出所求系统任意时刻的密度算符，和原子的约化密度矩阵，以及原子偶极压缩的条件，数值计算地研究了混合态型3能级与单模相干光场相互作用时原子的偶极压缩效应。

The results of numerical modeling indicate that the thin film microstrip lines with finite ground width have good broad band characteristics and the characteristic impedance, attenuation constant and effective dielectric constant have small change with the finite ground width changing.

作者用该程序对有限接地面薄膜微带线进行了时域仿真，结果显示在保证传输模不受干扰的情况下，在较宽频带范围内有限接地面对微带特性有微弱影响。

A large uumber of numerical calculations using the analytic formula and the dispersion equation have been candied out on the relations of the attenuation and phase constant with wave frequency, thickness and conductivity of the lossy layer.

此式适用于截止频率附近，通过解析表达式和波导模式色散方程，对衰减常数和相位常数进行了大量数值计算，得到了它们随损耗层厚度、频率以及损耗层电导率的变化规律，两种方法所获得的结果有较好的一致性，研究表明，损耗强度和损耗层厚度的变化会改变波导中电磁模式的色散和简并特性，对于改善高功率回旋行波放大器中注波互作用带宽和模式竞争非常有益。

With the use of analytical and numerical analysis to analyse the stability and attractability of the network using the two learning rules, the associative memory of the network using higher-order projection algorithm is better than that of using higher-order Hebbian algorithm.

通过在解析和数值两方面对这两种学习规则下网络的稳定性和吸引性的分析，可以看出高阶投影规则下网络的联想记忆性能比高阶Hebb规则下的要好。

The effect of obstacle with special size on audibility factor of DW-ILS is analyzed,and the numerical results are obtained.

采用电磁感应定理计算出了特定尺寸障碍物对分米波仪表着陆系统航向天线辐射场的散射，得到了该障碍物对跑道中心线上可听度系数影响的数值结果，并对此做出了分析。

Considering the numerically more stable properties of Normal Equation with Constraints and Hachtel's augmented matrix method for SE, all telemetered and virtual measurements are classified reasonably. Using blocked and sparse matrices technology, a new SE algorithm with computing speediness and numerical stability is proposed.

借鉴WLS估计中带等式约束的正规方程法和Hachtel法数值稳定性更强的优点，将遥测量和虚拟量测合理分类，并采用分块和稀疏矩阵技术形成了一种计算速度快、数值稳定性好的状态估计改进算法。

Numerical control lathe have following outstanding superiority than traditional lathe include:Can process out complicated parts, such as the curve coming out in traditional machine tooling, curved surface,etc;Because computer have superb operation ability is can instantaneous to calculate out each coordinate axis instantaneous amount of exercise that should move accurate, So can compound into the complicated curve or curved shttp://www.51lun-wen.cnurface ;Can realize automation that process is and flexible automation, so efficiency constant traditional lathe raises by 3-7 times;Because the computer has memory and stores ability ,Can carry out automatically according to the order that the procedure stipulates,so realize automation;Proceshttp://www.51lun-wen.cnng precision of part high, size disperse degree light, make and assemble easy, No longer need to" repair the damaged parts of a machine and supply replacements";Can realize the concentration of many processes,have many kinds of self-containment functions,such as autoalarm, controlling, automatic compensation automatically,etc;Therefore can realize that nobody guards and processes for a long time.

机床数控化改造可以加工出传统机床加工不出来的曲线、曲面等复杂的零件。数控机床比传统机床有以下突出的优越性，由于计算机可以瞬时准确地计算出每个坐标轴瞬时应该运动的运动量，因此可以复合成复杂的曲线或曲面；可以实现加工的自动化，而且是柔性自动化 http：//www.51lun-wen.cn ，从而效率可比传统机床提高3～7倍；由于计算机有记忆和存储能力，可以将输入的程序记住和存储下来，然后按程序规定的顺序自动去执行；加工零件的精度高，尺寸分散度小，使装配容易，不再需要"修配"；可实现多工序的集中，减少零件在机床间的频繁搬运；拥有自动报警、自动监控、自动补偿等多种自律功能，因而可实现长时间无人看管加工。

Numerical control lathe have following outstanding superiority than traditional lathe include:Can process out complicated parts, such as the curve coming out in traditional machine tooling, curved surface,etc;Because computer have superb operation ability is can instantaneous to calculate out each coordinate axis instantaneous amount of exercise that should move accurate, So can compound into the complicated curve or curved surface ;Can realize automation that process is and flexible automation, so efficiency constant traditional lathe raises by 3-7 times;Because the computer has memory and stores ability ,Can carry out automatically according to the order that the procedure stipulates,so realize automation;Processing precision of part high, size disperse degree light, make and assemble easy, No longer need to" repair the damaged parts of a machine and supply replacements";Can realize the concentration of many processes,have many kinds of self-containment functions,such as autoalarm, controlling, automatic compensation automatically,etc;Therefore can realize that nobody guards and processes for a long time.

机床数控化改造可以加工出传统机床加工不出来的曲线、曲面等复杂的零件。数控机床比传统机床有以下突出的优越性，由于计算机可以瞬时准确地计算出每个坐标轴瞬时应该运动的运动量，因此可以复合成复杂的曲线或曲面；可以实现加工的自动化，而且是柔性自动化，从而效率可比传统机床提高3～7倍；由于计算机有记忆和存储能力，可以将输入的程序记住和存储下来，然后按程序规定的顺序自动去执行；加工零件的精度高，尺寸分散度小，使装配容易，不再需要"修配"；可实现多工序的集中，减少零件在机床间的频繁搬运；拥有自动报警、自动监控、自动补偿等多种自律功能，因而可实现长时间无人看管加工。

Initial random imperfections of composite panels are assumed to be Gaussian random fields and simulated numerically from their mean and autocovariance functions. Lindstedt-Poincare's perturbation technique is employed to solve the resulting nonlinear equation in the vibration analysis of imperfect composite panels. Monte Carlo analyses are performed for detailed numerical calculations.

层板之随机性几何缺陷以高斯随机场来描述，并利用其平均值函数及自方差函数来做数值的模拟；以Lindstedt-Poincare微扰方法来处理缺陷复合层板之非线性运动方程式，并使用蒙地卡罗法来做详细的数值分析。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。