解集

A class of generalized multi-valued vector variational inequality problem is studied in Hausdorff topological vector space.

研究了Hausdorff拓扑向量空间中一类广义多值向量变分不等式问题，把定义在凸集上的GMVVIP部分地推广到了非凸集并运用KKM定理得到了这类GMVVIP解的存在性定理。

He was super-bright; he was comfortable in Urdu, Hindustani, Russian, Latin and classical Greek; he usually finished the Times crossword in 20 minutes and he knew by heart all the verses in his bestselling poetry collection,"Other Men's Flowers".

该人头脑极为灵活，乌尔都语、印度斯坦语、俄语、拉丁语以至古典希腊文都不在话下，不出二十分钟就能将《泰晤士报》纵横字谜全盘解出，他曾摘录诗句自成一集，号曰《他人之花》，其中每句韵文都能熟谙于心。

The other classfies the calculation of MBPS into the solution of inequation based on heuristic knowledge of MBPS of optimal directional coordination setting in complex multiloop network and comes into equivalence of 0-1 integral second layout problem. On the basis of the principle of Gene Optimal Evolution, a new approach to determine MBPS is first presented and decreases the computational complexity of MBPS problem.

其二，利用复杂环网方向保护最优整定配合中最小断点集的启发知识，将MBPS的计算归结为解不等式，进而等价为0—1整数二次规划问题，基于基因遗传优化计算原理，首次提出了MBPS问题的基因遗传算法，降低了问题的计算复杂性。

In the framework of Filippov solutions and on the basis of Lipschitz continuous and regular scalar Lyapunov functions, this dissertation discusses the stability problems of nonlinear systems with discontinuous right-hand sides with respect to a given point or a closed invariant set, and have some related results.

本论文在Filippov解的意义下，基于Lipschitz连续且正则的标量Lyapunov函数，讨论了右端不连续的非线性系统相对一个给定的点或相对于闭不变集的稳定性问题。

In this chapter the model of minimal perturbation constraints nonlinear programming is established, and the concept of the minimal perturbation efficient solution is introduced.

在研究模型中的较多约束集的结构表示的基础上，给出了较多约束最优解要满足的Fritz John条件和Kuhn-Tucker条件。

Rosen projective gradient method is used to find the approximated KKT points of relaxed problem, and then the index set is updated until the minimal solution is .

本文采用Rosen 投影梯度法求此松弛问题的近似KKT点，然后更新指标集不断迭代直至得到最优解。

In chapter 4,first the geometrical properties and the existence of optima of special bilevellinear mixed integer programming problem are discussed.

刻画了几种特殊问题的可行集，并讨论其最优解的存在性。

Mumford and Shah＇s variational model in the 2-phase piecewise constant case is very efficient in image segmentation.

Mumford—Shah两相分片常数模型是一个有效的图像分割模型，但当模型用于带有噪声的图像时，其水平集解法存在对初始解和长度参数敏感这两个问题。

The static theoretical indexs(the Mulliken bond population, the gap of the front line orbit energy and the net charge of the nitro group) and kinetic theoretical indexs illustrate pyrolysis mechanism and are correlated with experimental impact sensitivity.

以静态指标(键集居数、前线轨道能级差和硝基上净电荷)和动态理论指标阐明了热解引发机理，关联了实验撞击感度。

After discussing the structural conditions of the existence of the active network solutions, the state equations in normal form over F of electrical network which are suited for studying the character of network structure are derived. If there is no loop containing only capacitor and independent voltage sources, and if there is no cut-set containing only inductors and independent current-sources, both matrix A and B in ?

在探讨了有源网络解存在的结构条件下，推导了适合研究网络结构特征的多元有理函数域上电网络的范式状态方程：如果不存在仅由独立电压源和电容器构成的回路，且不存在仅由独立电流源和电感器组成的割集，则无论是有源网络还是无源网络，在网络的范式状态方程？

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