离散问题

First, the discrete method of separation of variables is applied to the numerical solution of a model problem-the interface problem.

本文首先以一个模型问题——带内界面的二阶椭圆型方程为例，提出了一种求解带奇性的椭圆型方程的离散分离变量方法，并把这种方法用于复合弹性材料问题的求解。

In this dissertation, a semi-discrete method-the discrete method of separation of variables is proposed for solvi...

本文研究求解带奇性的二阶椭圆型方程、复合材料问题及不可压材料问题的离散分离变量法。

In this dissertation, a semi-discrete method-the discrete method of separation of variables is proposed for solving the composite materials problem on a polygon.

本文研究求解带奇性的二阶椭圆型方程、复合材料问题及不可压材料问题的离散分离变量法。

The average correct rate of simple fraction concepts was between 86.4% and 97.4%, whenever continuous or discrete contexts.

在简单分数概念表现上，解简单分数连续量和离散量问题的答对率在86.4﹪~97.4之间，显示此类问题对台湾北部地区高年级学童是容易的。

Besides, ways to implement discrete methods in both time domain and space domain during the solution of the problem are investigated.

本文给出了冲击负荷下发电机端部三维瞬态涡流场的边值问题，并阐述了求解该问题时在空间、时间上的离散方法。

During the resample, the wrong hypotheses are discarded through basic Branch and Bound approach. The real optimization or suboptimization association results are obtained after a period.

针对经典的单匹配最近邻和联合匹配方法中关联假设一旦确定就不能修改的不足，将数据关联问题转换成离散优化问题，提出了一种基于粒子滤波的多假设数据关联方法。

In Chapter 2, a Heuristic Prediction Method is presented for long time horizon optimal control problems. The keys of HPM are that a heuristic term is added to its cost function for each subproblem, and that a prediction method is adopted in the high level coordination.

在第二章启发式预估方法中，根据长期离散时间最优控制问题最优解的特点，在每个子问题的目标函数中增加了一项启发项，并且在协调级采用了预估算法。

Since the lengths of the line segments and the angles between line segments are treated as representation parameters, it is convenient to construct energy function and to deal with displacement and length constraints. Based on this advantage, a parametrical model for human body is proposed, which can easily produce human body models with different feature sizes. The above method is just suitable for polylines. Therefore, a generic deformation method for both discrete curves and surfaces is presented. The energy function is constructed by analyzing the relationship of the points before and after deformation. Together with the displacement constraints, the deformation problem is converted to a convex quadratic programming. A necessary condition for constraint points and a sufficient condition for the uniqueness of solution are given. The proposed method can be combined with skeleton-driven animation to control the deformation.

将线段长度与线段之间的角度作为表示参数，既有利于能量函数的构造，又便于处理位移约束和长度内蕴约束条件，利用这一优势，将其应用于三维人体的参数化建模，可以方便地产生具有不同特征尺寸参数的人体模型，由于这种方法只适用于折线变形，具有较大局限性，因此，本文进一步提出一种较通用的离散曲线曲面变形方法，通过分析变形前后的位置关系来构造能量函数，再加上位移约束条件，将变形问题转化为一个凸二次规划问题，并且给出了约束点应满足的必要条件及模型解唯一的充分条件，这种方法还可以与骨架驱动变形的思想相结合，能更好的控制变形。

Since the imaginary time thermal propagators have periodicalimaginary time and discrete imaginary energy, which are unphysical quantities, theymust be continuated to real time and continuous real energy in the final results.

虚时和实时热传播子之间的解析延拓问题，这是有关虚时方法和实时方法之间关系的一个重要问题，由于虚时热传播子的周期性虚时间和离散的虚能量是非物理的量，在最后计算结果中，必须将它们分别延拓为实时间和连续的实能量。

The design of output feedback H(subscript ∞) controllers is discussed for nonlinear discrete singular systems. First of all, by means of generalized Lyapunov function and linear matrix inequalities, zero solution E-asymptotically stable is studied for the system, a sufficient condition is given such that the system is zero solution E-asymptotically stable and a H(subscript ∞) norm constraint. And the output feedback H(subscript ∞) controller is designed to guarantee the performance of the resulting closed-loop system.

主要对非线性离散广义系统的输出反馈H控制器的设计问题进行讨论，首先利用广义Lyapunov函数和线性矩阵不等式，对系统的零解E-渐近稳定性问题进行分析，在此条件基础上给出系统零解E-渐近稳定且具有H范数约束的充分条件，然后设计系统的输出反馈H控制器，使得闭环系统具有同样的性能。

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。