变分问题

Some sufficient conditions are presented, which all solutions of the proposed neural network are globally exponentially convergent to the unique solution of the linear variational inequality problem.

得到了一些保证该神经网络的所有解全局指数地收敛到线性变分不等式问题的解的充分条件。

Firstly, the mesh dependent norms are introduced and the equivalent mixed variational problem of the fourth order obstacle problem is derived by the penalty method.

首先，引入网格依赖范数，通过加罚方法得到了与四阶障碍问题的等价的混合变分形式。

In Chapter 1, the author introduces the backgroud of variational inclusions and the main work of this thesis.

第一章介绍了变分包含问题的一些相关背景，及本文的主要工作。

In Chapter 1, the author introduces the backgroud of variational inclusions and the main work o...

第一章介绍了变分包含问题的一些相关背景，及本文的主要工作。

In this paper, a variational level set approach for segmentation of Regions Of Interest is presented.

摘要针对SAR图像感兴趣区域分割问题，提出了一种基于统计模型的变分水平集分割方法。

In this paper, the variational data assimilation of two kinds of physical model including"on-off"...

本文研究了两类含有"开关"的物理过程的变分资料同化问题。

Weak formulation of mixed state equations including boundary conditions are presented in a cylindrical coordinate system by introducing Hellinger_Reissner variational principle.

从Hellinger_Reissner变分原理出发，在柱坐标系中，导出圆柱壳的弱形式混合状态方程和边界条件，联用状态空间法给出叠层柱壳的解析解，此法使得求解该类问题的形式得以扩大和统一。

In this paper w e derived the optimum form of important function by variation method, with that proposed percepts to improve impor tant function; by utilizing the result of delaminateˉ sample theory, the improving direction of reˉsampling was determine d, and with that the double weight selecting partiˉ cle filtering was proposed.

为解决粒子滤波算法在实际应用中出现的滤波发散、粒子退化问题，文中利用变分法证明了重要性函数取法的最优形式，并由此提出重要性函数的改进方案；利用分层抽样原理，确定了重采样方法的改进方向，并由此提出双权重重采样方法。

We mainly discuss three types of inpainting models: the Bayesian model, geometric models and PDE models with emphasis on investigating TV inpainting, elastica inpainting and Mumford- Shah inpainting of PDE models. After studying the level set method and its applications to image processing, we concentrate on discussing the inpainting model...

在介绍水平集法及其在图像处理方面的应用之后，进一步深入地讨论了一类图像修复的变分模型—Mumford-Shah-Euler模型，在此基础上利用水平集法，提出MSE模型的数值逼近的算法格式，并对一些具体的图像修复问题开展数值模拟和修复，深入分析了MSE模型及水平集法在图像修复中的优缺点，这些结果在理论和实际应用中都很有意义。

In order to know irradiant dynamic process we must have excitation crosssection of electron collision with molecule. Incident electron energy is inintermediate range. At low energy, there are several good methods thatcalculate electron collision with molecule for example Variation, R-matrix.

此时入射电子的能量已经达到中能，在低能范围内的电子与分子散射有许多好的方法如变分法、R-矩阵方法，在高能范围内利用Born近似等方法也能得到满意的结果，在中等能量范围的电子与分子碰撞则没有相应的成熟的方法，使用比较多的是密耦(Closing-Couple)方法，这种方法将相互作用势分为静态势、交换势、极化势，在耦合态的选取上比较自由，可以根据实际的问题及分子的特性选取耦合作用比较强的通道，这样既能保证精度又能减少计算量。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。