数值算法

Numerical results verify that the new algorithm has the properties of simple implementation, fast convergence, low computation cost and easy parameter selection.

给出了用该算法对天线阵幅度、相位和幅相综合的数值结果，验证了新算法的有效性。

By a large scale of actual cases and theoretical analysis, it shows that the arithmetic in this article has a very stable convergence and very fast convergent speed, at the same time, gives accurate calculated value.

对于求解这个非线性方程，提出了一个数值迭代算法，并对该算法的收敛性进行了证明，给出了最大迭代步数的上限值。

Equidistant mesh parti2 tion was applied in each subinterval. Asymptotic solution...

混合算法结合了渐近解、数值解和BVT 法的优势，是一个实用、有效的算法。

High order symplectic schemes of three-dimensional time-domain Maxwell's equations are constructed with symplectic integrator technique combined with high order staggered difference. The method is used to analyzing stability and numerical dispersion of high order time-domain methods and symplectic schemes with matrix analysis and tensor product.

利用辛积分技术与高阶交错差分技术，建立求解三维时域Maxwell方程的高阶辛算法；结合电磁场中的物理概念，借助矩阵分析和张量分析理论，获得高阶时域方法及高阶辛算法的稳定性和数值色散性的统一处理新方法。

For this purpose, this paper presents a novel clustering algorithm for these mixed data sets by modifying the common cost function, trace of the within cluster dispersion matrix. The Genetic Algorithm is used to optimize the new cost function to obtain valid clustering result.

为此，该文提出了一种基于GA的模糊聚类新算法，通过改进聚类目标函数将数值特征与类属特征相结合，从而实现具有混合属性特征数据的聚类分析；通过引入GA算法能够快速得到全局最优解，而且不依赖于原型初始化。

Firstly,the mathematic model for transportation problem with multimodal transport is analyzed;Secondly,a hybrid genetic algorithm for transportation problem with multimodal transport is presented by introducing a form of hybrid chromosome coding,which considers both transportation quantity and transportation modes,and two hybrid genetic operators.

首先分析了多式联运运输问题的数学模型；其次通过引入关于运输量及运输方式的混合编码，结合两种混合遗传算子，提出了一种求解多式联运运输问题的混合遗传算法；最后用数值例子对算法的有效性进行了验证。

Then, on the basis of considerable amounts of numerical tests and statistical analysis for truncated generations, the distribution law is revealed with an example of float type genetic algorithms utilized frequently in engineering optimization.

然后，以工程优化中常用的浮点型遗传算法为例，通过大量的数值试验和统计分析揭示了遗传算法进化截止代数分布的规律。

Now this kind of algorithm has been used in many fields, such as machine learing, unconventionality and malfunction diagnosis, simulation of the behavior of robots, control of robots, in break detection of network, function optimization and etc.

论文利用人工免疫算法求解数值问题的优越性，研究得到了改进的多峰值人工免疫算法，能够很好地解决函数优化的问题。

In this paper, a path planning method based on GA is presented. Firstly, the model of the space robot is built to display the mapping of the end velocity and the joint velocity. Then the optimal algorithm based on genetic algorithm is presented to search the optimal solution which minimizes the disturbance of base attitude in the feasible solution space. Finally, an illustrative example is used to verify the feasibility of the algorithm.

基于GA研究机械臂运动对基座的姿态扰动问题，首先，建立空间机器人的运动学模型及空间机器人末端与关节速度之间的映射关系；接着，应用GA作为最优化算法，在空间机器人可行解空间中，寻找最优解得到最优路径，以达到对基座姿态干扰最小的目的；最后，通过数值仿真实验验证算法的实用性。

Finally a comparison of optimization results between complex method and genetic algorithm is carried out, which shows the value of objective function ha s decreased 6.6% under GA. This will help decrease the slippage of steering whee l and wear extent of tyre. At the same time, it also verifies the feasibility an d superiority of genetic algorithm in solving the nonlinear optimization problem s with many restraints and variables.

计算结果表明：与复合形法相比，遗传算法使目标函数值减少了6.6%，取得了较好的优化效果，从而更有利于减小转向车轮的滑移量和轮胎的磨损量，同时也验证了遗传算法解决多约束、多变量类型优化问题的可行性和优越性。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。