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According to singular entropy and Percent of contribution to total energy, the de-noising rank is obtained and the signal is reconstructed. The thesis compares reconstruct wave form of different reconstruct rank and the error of original signal and reconstruct signal is contrasted.According to voltage flicker measurement, voltage flicker detection method based on Mathe Matical filtering and Teager Energy Operator is proposed. The multiple MM filter filters out pulse noise and white noise contained in fliker signal, then the filtered signal is tracked accurately and quikly via TEO.

提出了基于数学形态滤波和TEO能量算子的电压闪变快速测量方法，含噪电压闪变信号经过多结构元素复合数学形态滤波后，采用TEO能量算子计算跟踪电压闪变信号的包络，得到的包络信号用Pisarenco谱分析方法获得闪变调制信号的幅值频率等参数，对不同情况下的电压闪变信号进行了仿真验证。

The paper proves that the search process of the non-crossover genetic algorithm is an ergodic homogeneous Markov Chain. The proof of global convergence of NCGA is presented is this paper. The upper bound of convergence speed of the NCGA is the same as the CGA. The possibly of retain the promising genes of NCGA is larger than CGA.

对于本人可以找到的32种典型的非线性优化测试函数，应用无交叉算子遗传算法，与基于经典遗传算法相比，在相同的进化代数的条件下，NCGA同样取得了略优的收敛速度，在相同CPU计算时间上NCGA也取得略优的结果； 3 提出了复合算子遗传算法。

We prove an extension of the representation theorem of the convex pricing rule. We also give the corresponding probabilistic repre-sentation theorem of the convex pricing rule in a financial market with convex constraints.

我们证明了凸价格算子相应的表示定理，并给出了在凸约束的金融市场下凸价格算子的一个概率表达式。

The contents are the following:In chapter two, the existence and multiplicity results for the following equation of p-Laplacian type are obtained.For the elliptic quasilinear hemivariational inequality involving the p-Laplacian operator,in order to use the mountain pass theorem proving the existence result, the authors usually need to use the uniform convexity of the Sobolev space to prove the energy function satisfies the PS condition. But for the p-Laplacian type equation mentioned above, this method is no use. To overcome this difficulty, the potential function is assumed to be convex, then I prove the existence result and by using the extension of the Ricceri theorem, the multiplicity result for the problem is obtained.

在第二章我们首先考虑关于以下p-Laplacian型(p-Laplacian type)方程非平凡解及多解的存在性对于带有p-Laplacian算子的椭圆拟线性半边分不等式问题，为应用非光滑的山路引理证明解的存在性，在证明方程所对应的能量泛函满足非光滑的PS条件时，需利用Sobolev空间的一致凸性，但是对于具有更一般形式的算子的p-Laplacian型方程，不具备上述性质，在文中为克服这一困难，本人对位势泛函做了一致凸的假设，从而证明了解的存在性，并应用推广的Ricceri定理，证明了方程三个解的存在性。

In the last chap-ter,the natural integral equation and natural boundary element method forharmonic problem on exterior elliptic domain are introduced.Then,based onthis,the natural boundary reduction method for a kind of exterior problem ofanisotropic constant coefficients elliptic equation is discussed, the natural inte-gral equation and its solving method on circular boundary and elliptic bound-ary are obtained.These results can be directly applied in coupled methodand DDM for exterior boundary value problem.

最后，讨论了椭圆外区域调和问题的自然积分算子即D-N算子及自然边界元方法，并基于此研究了一类各向异性常系数椭圆型方程外问题的自然边界归化方法，首次得到其在圆周边界及椭圆边界上的自然积分方程及其求解方法，并将这些结果直接应用于外边值问题的耦合算法。

To solve the difficulties of the discretization and application of fractional order controllers, evaluation strategies of digital realization of FOC are investigated. The realization principle and process of various discretization methods are discussed.

针对分数阶控制器数值计算和应用难的问题，提出了分数阶微积分算子数字实现方法的评估策略，分析了分数阶微积分算子的多种数值计算法的机理和实现步骤。

Mumps one pound, that is what I have put down, but I daresay it will be more like thirty shillings -- don't speak -- measles one five, German measles half a guinea, makes two fifteen six -- don't waggle your finger -- whooping-cough, say fifteen shillings -- and so on it went, and it added up differently each time; but at last Wendy just got through, with mumps reduced to twelve six, and the two kinds of measles treated as one.

他继续算下去，每次算出的结果都不一样。不过最后温迪总算熬了过来，腮腺炎减到了十二先令六便士，两种麻疹并作一次处理。

But thevectorial graphical method may be used with advant...

本文对于矢量图解计算的具体程序列举了算例；对于本文给出的一般性解答的应用，也列举了算例。

It consists of fitting seismic ray traveltimes and positions to data calculated by ray tracing. In order to improve inversion stability and efficiency, seismic ray is described by Hamilton function and ray tracing is done in phase space. Validation tests on synthetic and practical data are analyzed. The tests show that this tomographic method is effective for estimating velocity field in complex media.

为提高反演的稳定性和计算效率，引入了Hamilton函数描述射线，在相空间计算反演所需的射线路径和目标函数对模型参数的导数，对理论模型和实际地震资料进行了试算，试算表明该方法对复杂介质具有较强的适应能力。

By using the finite difference technique and by introducing the second-quantized operator, the Hamiltonian is expressed in a compact form.

使用了有限差分方法处理微分算符，并对其进行二次量子化，从而得到了用算符表示的哈密顿量表达式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。