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By means of the projection method,adding a small disturbing function to the objective function, the penalty method, andthe gradient method, this dissertation proposes several neural networks for solvingsaddle point problems and minimum radius of ball-coverings problems, and investi-gates the stability of the proposed networks by the LaSalle invariance principle andthe Lyapunov method, so as to design neural networks which avoid getting stuck inthe local minimum.

本文针对约束鞍点问题和球覆盖最小半径的计算问题,分别利用投影法、对目标函数加上很小"扰动函数"的逼近法、罚函数法和梯度法等建立神经网络模型进行求解,并基于LaSalle不变集原理和Lyapunov直接法等工具,对模型的动态特性进行研究,从而设计出避免陷入局部极小的优化计算神经网络模型。

According to XRD analysis, the high concentration doping of dysprosium ions in Fe3O4 can not be obtained due to the difference of ionic radius, and Fe^3+ ions are replaced by only a small amount of dysprosium ions.

通过X射线衍射分析发现,由于离子半径的不匹配,Fe3O4中稀土离子的高浓度掺杂不能实现,仅有极少量的稀土离子取代了Fe3O4中的Fe^3+。

Because both ions in A and B sites of these compounds can be substituted by other ions with different electrovalence and radius in a wide range, their dielectric property is adjustable and can be optimized in a large scale. This implies that new type MWDC with advanced dielectric property may be exploited from these compounds and widely used.

该类化合物由于A、B位均可能被电价与半径不同的阳离子在较宽的范围内取代,所以其介电性质有较大范围的调节与优化的可能性,因此从该类化合物中极有可能开发出具有广泛应用前景的新型高性能微波介质陶瓷材料。

Finally,as to an equicontinuous homeomorphism on a compact metric space,...

最后,针对紧致度量空间上的等度连续同胚,利用空间的极小性和紧致性,得到以空间中某有限个点的有限长轨道为中心,以ε2为半径的开邻域构成的有限子覆盖,并利用f的等度连续性,由该子覆盖构造出以空间任一点的有限长轨道为中心的开邻域所作成的有限子覆盖,进而得到所要结论。

There is a effect area of high voltage electrostatic field formed with a needle electrode connected with negative voltage and a stainless steel plate connected with ground.

在针电极和板极之间的距离一定的情况下,在一定的半径(以针尖正下方水面为圆心)以外,电场的影响非常微弱。

In order to overcome the technological difficulties encountered in the course of insulation fault diagnosis on the base of dissolved gases analysis, several kinds of mathematic models and actualized methods are brought forward to improve the reliability and veracity of fault diagnosis of transformers. The research works are shown mainly as followings:1 A modified fuzzy multi-criteria method is brought forward for insulation fault diagnosis of transformer. Furthermore, a new method for insulation fault diagnosis is proposed on the base of fuzzy multi-criteria together with rule reasoning. With fuzzy diagnosis in the method, fault reasons are filtrated and then the reasons in low probability are prohibited, Moreover, the left reasons are testified by using rule reasoning and then final concludes are drawn in much less misjudge probability and better results.2 On the base of geometry characteristics of C- partition to sample set of DGA data of transformer, a method is put forward to compute effective radius of neighbor field of a sample, number of clusters and values of initial centers. Moreover, the fuzzy C- means cluster model with adaptive weight is brought forward in the first time and then the fault classifier is designed for insulation fault diagnosis of transformer.3 According to the weakness of the degree of gray of gray incidence, a new formula to compute DGI is put forward and then incidence order criterion is ascertained. Moreover, a new DGI model for fault diagnosis is proposed according to the further analysis to relationship between fault reason and content of oil dissolved gases of transformer.

为解决在应用油中溶解气体分析方法(Dissolved Gases Analysis,简称DGA)诊断变压器内部绝缘故障时所遇到的主要技术难题,论文提出了用于提高变压器故障诊断准确性和可靠性的数学模型及实现方法,主要研究工作如下:1)提出了一种改进的变压器绝缘故障诊断模糊综合评判方法;进一步提出了将模糊综合诊断与规则推理相结合进行绝缘故障诊断的方法,该方法采用模糊推理对故障原因进行"过滤",滤掉可能性极小的原因,然后进一步利用规则推理验证剩下的可能原因,得出最终结论,大大减少了误判比率,获得了较好的效果。2)根据以变压器DGA数据为特征量的样本空间的c-划分几何特性出发,提出了一种求取样本有效邻域半径和聚类数及聚类中心初值的方法,在此基础上,首次提出了一种自适应加权的变压器绝缘故障诊断的模糊c-均值聚类模型,并设计出故障分类器。3)针对常用灰色关联度的不足,提出了一新的灰色关联度计算公式及确定关联序的准则;并在此基础上,通过深入分析变压器发生绝缘故障时的原因与油中溶解特征气体含量的关系,建立了一种新的故障诊断灰色关联模型;通过实例分析证明,该方法能有效地诊断出变压器绝缘故障及故障部位,大大提高了诊断的准确性。

Moreover, a minimum iterative function is adopted to deduce optimal MAP regional radius when handoff latency is minimum.

通过采用极小化函数迭代的方法,求出使切换时延达到最小时最优MAP管理区域半径。

The molecular radius and molar volume in gas, the dipole moment in gas, water and methanol, the sum of negative Mülliken charges and the frontier molecular orbital were also calculated at the same level.

在气相条件下计算了分子的半径及分子的体积,并在气相、水和甲醇介质中计算了分子的偶极矩、分子中原子的Mülliken电荷、分子的前线轨道。

Based on the simulation data, the effects of clearances, damping coefficient and the rotation speed on the dynamic behaviors are studied: compared with ideal mechanisms, mechanisms with clearances are less stable; as for mechanisms with clearances, when the crank rotates at the speed of 100rad/s, the actual clearances are always above the radium of clearances, axle pin and axle cover keep contact throught the rotation; when the crank rotates at the speed of 20rad/s, mechanisms are in an unstable state, at an angle of about 300, the actual clearances are below the radium of clearances, pairs lose contact, which results in collision between them; with the speed of 20rad/s, when damping coefficient is assumed 175Ns/m, distinct separation and collision happen between pairs; when damping coefficient is assumed 220Ns/m, separation and collision are controlled.

在含间隙机构中,当曲柄以100rad/s转动时,运动副间隙始终大於半径间隙,轴销与轴套始终保持连续接触;当曲柄以低速20rad/s转动时,系统处於极不稳定的震荡状态,在转至300°左右时,运动副间隙小於半径间隙,脱离接触,发生明显的分离碰撞现象。在含间隙机构中,曲柄以低速20rad/s转动,当取法向阻尼系数为175Ns/m时,副元素发生明显的分离碰撞现象;当取法向阻尼系数为220Ns/m时控制了副元素的分离,副元素一直处於连续接触状态。

This created a certain amount of "industrial pole" effect, this "industrial pole" is divided by the radius of the population ecology and population ecology radius is the size of the population divided by the number of service industries service space distance and ecological costs.

这种情况造成了一定程度的&产业极&的效果,这种&工业极点&是除以半径的种群生态学和种群生态学半径的大小,人口除以服务行业的服务空间距离和生态代价。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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