算出

The discrete curvature vector based method to fair mesh by modifying vertex positions We first low-pass filter the discrete curvature vector function to make it change more gradually and uniformly, and then modify the vertex positions according the resulted function to improve the fairness of mesh.

以此为基础，给出了两个算法：网格改点光顺的离散曲率向量法基本思想是先用低通滤波算子修匀曲率向量，并由此修改顶点的位置以改善网格的光顺性。具体算法吸取了优化问题中Zoutendijk可行方向法的基本思想。

This thesis has mainly discussed D'Alembert Solution in one dimension wave equation by using arithmetic operators algorithm.

主要讨论了运用算子的方法推导出弦振动方程中的D'Alembert公式。

In the paper,an optimal method for node labels in the finite element is presented,which is an inductive and deductive method.

通过对在网格半带宽最小时的节点排列的一些特征进行分析，从其中归纳出3条规律，通过算例验证了该规律的正确性和可靠性。

The vactrix method is further developed, a vectrix Skew-symmetric crossproduct identity is presented and the dyadic form of the derivative of a vector with respect to another vector in terms of vectrix is also offered.

进一步发展了矢阵方法，提出了矢阵叉积算子恒等式及矢量相对于矢量的导数以矢阵表示的并矢形式，并给出了若干应用实例。

First, a gradient detecter is used for detecting all localintensity discontinuous points as candidate edge points. Then,all thesecandidate edge points are classified into three kinds of point setsaccording to some classifying rules.

首先，利用梯度检测算子检测出灰度不连续象点作为候选边缘点，其次，按文中提出的若干分类规则，将这些候选点分为三类。

By discussing the eigenvalue relation of the coefficient ,λ and η in Mathieu equation, means determining the boundary lines between the steady and unsteady solution areas of Mathieu equation, the criterion equation of the problem is presented here.

通过具体算例，给出了四边固定载流矩形薄板的磁弹性动力失稳临界状态与相关参量之间的关系曲线，并对计算结果及其变化规律进行了分析讨论。

The main contributions are summarized as the following.Firstly, assuming demand is segmented by order lead time, a joint pricing and capacity allocation model is formulated considering scenario-based demand. Due to the stochastic discrete variable in the model, robust optimization is used to solve the model. Numerical examples prove our model and method reflect the stochastic characteristics of demand and provide more pratical pricing and capacity allocation policies than other methods of deterministic and stochastic expectation programming methods especially when the capacity is tight.

本文的创新之处概括为如下几个方面：首先，假设制造企业根据交货提前期对市场细分，建立了考虑需求情境的BTO模式下制造企业定价与能力分配的集成模型，利用稳健优化规划方法对此随机模型进行转化和求解，算例仿真表明随机优化规划方法较确定性规划和随机期望值规划方法更好地反映了随机离散需求的分布和波动特征，更加接近实际运作情况；产能越紧张，各类需求的价格差距越大，三种规划方法给出的最优策略差距越大。

In this paper, the concept of congruent diagonalization of matrix is presented, and the problem of diagonalization of one matrix is generalized.

提出矩阵合同对角化概念，对一个矩阵对角化问题进行推广思考，讨论了二个矩阵的同时对角化问题，取得了一些结果，给出了有关算

I know how to hurt I know how to kill I know what to show And what to conceal I know when to talk And I know when to touch No one ever die from wanting to much The world is not enough But it is such a perfect place to start, my love And if you're strong enough Together we can take the world apart, my love People like us Know how to survive There's no point in living If you can't feel the life We know when to kiss And we know when to kill If we can't have it all Then nobody will The world is not enough But it is such a perfect place to start, my love And if you're strong enough Together we can take the world apart, my love I - I feel sick I - I feel scared I - I feel ready I - And yet unprepared The world is not enough But it is such a perfect place to start, my love And if you're strong enough Together we can take the world apart, my love The world is not enough The world is not enough

今天和一群人看了加勒比海盗2，天哪，那个盗版DVD翻译的字幕实在太差了。害得我剧情都没有理解清楚，只知道大概就是那个"章鱼男"要和主人公们抢一个心脏。其中一位在我身边的观众估计是第1部没有看，居然当最后一幕巴博萨船长出现时，奇怪的问道：这是谁啊？我晕，估计他也懒得补看第一部了。看不懂剧情挺遗憾，不过我无所谓，反正我把这片定义为视觉大餐而已，没想一定要弄懂什么剧情。从全片角度来看看来"加勒比海盗"要走"黑客帝国"、"星球大战"的路线－－第一集试探市场反应，第二集留个悬念，第三集大收尾。整个续集来看，除了又两段搞笑成分较浓的动作戏外，没感觉什么新意了。影片前半部分的那段丛林戏，跟"金刚"几乎是一摸一样。同时看过这两部电影的人不知会作何感想。表演上还算到位，Johnny Deep的表现最为出色，就是暂时不知道最后一集他怎么出场。两部加勒比海盗的配乐都相当出色，颇有"角斗士"的味道。视觉大片而已嘛，不计较太多，看看而已，一笑而过。。。

Based on reliability analysis of frame structure, in this paper, the relative difference quotient methods is used for optimization of the frame structure, and a iteration scheme to find the optimum solution is presented.

以框架结构系统的可靠性分析为基础，给出离散变量框架结构可靠性优化的相对差商方法及迭代格式，并用算例证明了该法的有效性及实用性。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新