解集

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

In this thesis, we study Cauchy rational interpolation problem on the set of distinct nodes by algebraic method and give some algorithms in univariate and multivariate cases.

我们推广了有理插值问题解的概念，给出了扩展弱解，弱解和解的定义，并且说明在给定一个代数结构后扩展弱解集构成一个线性空间。

We proved that there exists a dense G (subscript δ) subset of the complete metric space consisting of the vector optimization problems satisfying some conditions ,and each problem in the dense G (subscript δ) subset has stable solution set, which generalized the corresponding results in the literature.

证明了满足一定条件的向量优化问题构成的完备度量空间中，存在一个稠密G集，在此稠密集中每个问题的解集都是稳定的，推广了文献中的相应结果。

It is proved that strictly efficient point set of the objective space is connected when objective function is cone convex－like,and that if objective function is cone convex set－valued mapping,then strictly efficient solution set is also connected.

证明了当目标函数为锥类凸的集值映射时，其目标空间里的严有效点集是连通的；若目标函数为锥凸的集值映射时，其严有效解集也是连通的。

Due to equivalent transformation during the simplification procedure of equations, the solution set of equations can neither expand and nor contract, and also the transformed equations for four displacement functions are compact in the form and easy to find their solutions.

由于方程化简过程是等价变形，从而可以保证方程的解集既不会扩大也不会缩小，而位移势函数便给出了一维六方准晶中弹性解的一个通解公式。

A family of inexact solutions with acceptable membership degree is found by soft computing approach, instead of to find an exact unique optimal solution, via the simplex method for the crisp linear programming.

利用软计算方法得到的最终优解为一个模糊优解集，取代了以往利用单纯形法求解模糊线性规划问题得到的唯一优解。

Until now there is no paper to discuss the Hlder continuities of solution maps for perturbed vector equilibrium problems when their solution maps are not single-valued ones, but general set-valued ones.

目前，在广义扰动向量平衡问题解集映射不是单值的，而是集值映射的情况下，还没有文章讨论它们的解集映射的Hlder连续性。

After the formalization of the RMA problems, methods for normalizing the original stochastic decision matrix are proposed. For discrete RMA problems, the concepts of C-type solution and S-type solution are defined, and the inclusion relations between different sets of solution in the same type and between different sets of solution in different types are concluded. For continuous RMA problems, the decision analysis based on Dα-dominance relation is illustrated.

在对风险型多属性决策问题进行形式化描述之后，按照离散和连续两种情况，分别给出了风险型多属性决策属性数据的预处理方法；对离散风险型多属性决策问题，定义了C-类解和S-类解，并给出了各类解集之间的包含关系；对连续风险型多属性决策问题，给出了基于Dα优势关系的分析方法。

Solution quality and diversification based solution update strategy of reference set and decentralization mutation strategy are presented in the path relinking algorithm.

在路径重连算法中，研究了综合考虑解质量与多样性的参考解集更新策略以及分散性解变异策略对提高解质量的作用。

The results of computations demonstrate that the path relinking algorithm can obtain better solutions than the standard genetic algorithm, the standard Tabu search procedure and the general path relinking algorithm, and prove that the solution update method of the reference set with diversification detection is very important to path relinking. Moreover, the decentralization mutation strategy can enhance the capacity of searching a better solution.

计算实例表明，该路径重连算法比标准遗传算法、标准Tabu搜索算法以及普通路径重连算法能够获得更好的解，证明了多样性检测对参考解集更新的关键作用以及分散性解变异策略在提高解的质量上的能力。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失