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By using our model, several experimental consequences of this cortical mechanism of orientation tuning are derived.

藉由使用我们的模型可产生许多方位调节下皮质机能的实验性结果。

At the same time, theories on the construction of the generalized coherent states and realization of coset space respresentation are briefly summarized, while the concepts of quantum phase space and the classical analogy for a quantum system are derived.

同时，对一般相干态的构造理论以及陪集表象表示的实现也进行了简要的介绍，并且引入了量子相空间和量子系统的经典类比等概念。

In chapter four,we have studied the permutation group coset method in calculations of gauge field vertices which can simplified the calculation of gluonic vertices.Using this method we derived the Feynman rules of trilinear vertex and quartic vertex of gauge theory.

第四章给出了规范场顶角计算中的置换群陪集展开方法，利用该方法可以简化胶子顶角的计算，并导出了规范场的三点及四点树图顶角的Feynman规则。

To reduce the evil influence of the window effect to discrete Fourier transform spectrum analysis, interpolation equations of generalized cosine window function with different K are derived.

为了减少加窗效应对基于离散傅里叶变换频谱分析的测频算法产生的不良影响，推导了不同K值下，广义余弦类窗函数的频谱及幅度比值法插值校正公式。

A universal analytic potential energy function is derived using the cosine function with a phase factor,which is suitable to be applied to the interactions between two atoms in a molecule or molecule and ion.5 kinds of common potential curves are obtained by adjusting phase factors.

利用一种带相位因子的余弦函数，导出了适用于双原子分子或分子离子间相互作用的普适性解析势能函数，通过调节相位因子可获得5种常见形态的势能曲线。

The theoretical solution of eigenfrequencies and vibration models of rectangular thin plate on foundation with completely free boundary was derived by the double finite cosine integral transform method. In the analytical process, the elastic foundation was regarded as Winkler foundation model.

将弹性地基以Winkler模型模拟，利用双重有限余弦积分变换的方法推导出了弹性地基上四边自由矩形薄板的固有频率和振型的解析解表达式。

After that, a new blind adaptive beam control algorithm is derived from the new cost function.

然后以此新的代价函数为基础，通过理论推导，提出了一种新的自适应波束控制算法。

As a result, it shows thatthe static or dynamic subsystem optimum alone is not equal to the system optimum. Three initial value problems met in the optimal design of flying vehicle are studied andconclusions are derived that: orthogonal test method can be adopted to decide the initial valueof static optimization problem, some mathematical techniques can be used to deal with thecostate variables of Maximum Principle and decide the initial value of the costate variable,the indirect method can be used to get the analytical solution under ideal case to guide thechoice of the initial control curve in the direct method. With some numerical examples oftrajectory optimization, it shows that all these methods are useful not only in accelerating theconvergence but also in converging to the global optimum.

针对飞行器优化设计中的三种初始值问题进行了研究，以远程弹道导弹弹道的工程优化为例说明，对于静态优化问题，采用正交试验法选取初始值，不仅可以大大加快收敛的速度，而且更有可能收敛到全局最优解；以气动力辅助变轨问题为例说明，用共态变量的一阶泰勒级数展开可以解决极大值原理中共态变量初值难于确定的问题；以二级弹道导弹的主动段弹道优化为例说明，利用间接法在理想情况下得到的解析解来指导直接法初始控制曲线的选择，将大大有利于提高直接法的收敛速度。

Equation (1) is Gauss theorem, it is can be derived from Coulomb's law, expressed the electric field diverges outward from the charge, equation (2) expression does not exist a separate poles.

方程式（1）就是高斯定理，它可以从库仑定律推导出来，表述电场从电荷向外发散，方程式（2）表述不存在单独的磁极。

Thirdly debtor can use the rights of counterplea derived from the contract to oppose the third party.

债务人可以合同所产生的一切抗辩来对抗因合同受益的第三人。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。