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In this paper, we present a class of equation model for image denoising and edge enhancement. The model is based on robust statistics error norm and variational theory. By analysing the parameters of the equation and designing the methods of module partitions, the numerical experiments reach a good result and the parallel efficiency has been improved remarkably with finite difference method.

本文基于稳健统计误差模函数及变分原理构造了一类用于图像去噪、增强边缘的方程模型，对相关参数进行了分析，设计了该方程有限差分数值求解的并行算法，并对分块模型及实现过程进行改进，提高了并行效率，在此基础上完成了并行数值实验，并对结果就误差模选取、并行效率等方面进行了分析。

This paper discusses a new meshing scheme about armor-piercing core and sabot of long rod AP, which adopts the structure of variational tooth clearance.

本文探讨了杆式穿甲弹的一种弹芯与弹托的新型啮合方案，即采用变齿隙结构方案。

AbstractThe Dissertation chiefly probes into trappings popular Arcanum, aimed at what result in fashion and fashion via what species mode spread raise the question, then with time for clue assays costume history various phase trappings variational rule, and wherewith for sally port reveals out result in trappings culture lengthways popular factor; at the same time the dissertation adduces today society trappings culture popular variety vehicle of transmission, via assaying different kinds of vehiculary advantage and disadvantage , elicits trappings cultural transverse direction spread mode .

论文主要探讨服饰流行的奥秘，针对什么导致流行和流行通过何种模式传播提出问题，接下来以时间为线索分析服装史各个阶段服饰变化的规律，并以此为突破口揭示出导致服饰文化纵向流行的因素；同时举出当今社会服饰文化流行的种种传播媒介，在分析各种媒介的优势与劣势的过程中，推导出服饰文化的横向传播模式。

This paper focuses on four important aspects as follows. The first one is the establishment of variational quations which provides the mathematics theories for the finite element method of HMT; the second one is for the study of scalar/node and vector/edge finite element method; the third one is about how to solve faster for the large-sacled matrix system of scalar/node and vector/edge finite element; and the last one is achieving the forward modeling with high precision of HMT method.

主要包括四部分：建立与高频大地电磁法边值问题相等价的变分问题，为有限元数值计算奠定数理基础；标量/矢量有限元方法的研究；加速标量/矢量有限元矩阵系统方程迭代求解技术的研究；实现高频大地电磁参数精确快速正演模拟的研究。

By theory says, the variational principle and the Schrodinger equation are equal.

从原理上讲，变分原理与薛定谔方程等价。

We take sech form ansatz and solve the CNLS equations through variational approach. We obtain the analytical expression of nonlinear coupling term, which is in the lagrangian of CNLS. We apply a potential well model to analyze the interaction properties of self-trapping beams in detail, the results show that the interaction do not change the profile of the beams, two beams keep oscillating around their collective center periodically. The amplitude and period of this oscillation are both determined by initial separation of two beams.

我们采用Sech函数为试探函数，用变分法求解CNLS方程，（1）给出了CNLS方程所对应的拉格朗日中的非线性耦合项的解析表达，（2）利用势阱模型详细分析两自陷光束之间相互作用的特性，结果表明，相互作用没有改变孤子的形态，它们分别在与传播方向垂直的方向上绕它们的公共中心做往复振动，振动幅度及周期都取决于两光束的初始分隔。

Based on the sizeof the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence.

摘要通过函数的下卷积函数列的逼近方法，在变分原理中从扰动最小值点集的"大小"入手，研究了下半连续函数的可微性。

At first, two optimal control problems for hybrid dynamic time-varying systems with free-terminal and terminal constraint are considered, value functions of these two optimal problems are respectively proved to be the unique viscosity solution and the unique lower semicontinuous solution to a type of Quasi-Variational Inequality and the relationship between them is addressed.

本文首先分别考虑了有限时间混合动态时变系统在终端自由和终端约束两种情形下的最优控制问题，得到了最优控制问题的解在这两种情形下分别是一类拟变分不等式的唯一的粘性解和唯一的下半连续解的结论，并给出了它们之间的关系。

The existence theorem of generalized weak efficient solutions with respect to variable, cone for a linear G〓teaux differentiable mapping is proved with set valued mapping fixed-point theorem and the relation between a vector optimization and a variational inequality problem. The existence of weak efficient solutions for multi-objective convex vector optimization is characterized.

建立映射在线性G〓teaux可微条件下关于可变锥的广义弱有效解的存在性及多目标凸向量优化问题在G〓teaux可微条件下弱有效解的特征，利用集值映射不动点定理及向量优化与变分不等式的关系证明线性G〓teaux可微锥凸映射关于可变锥的广义弱有效解的存在性定理。

Based on the generalized potential variational principle of nonlinear elasticity theory with large deflection, the incomplete generalized potential energy functional with large deflection is established on the space coupling free vibration of collaborated system structure by considering the effect of axial compressive and shearing strain energy of stiffening girder.

摘要基于大位移非线性弹性理论的广义变分原理，考虑加劲梁轴向压缩应变能和剪切应变能的影响，建立了协作体系斜拉桥空间耦合自由振动的大位移不完全广义势能泛函，通过约束变分导出了协作体系斜拉桥的加劲主梁竖向挠曲振动微分方程。

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。