集合函数

We have proposed the switching adaptive control law for the systems and designed the Lyapunov function in this thesis. It is proved that the proposed switching adaptive control law guarantees the solutions of the nonlinear systems boundedness and convergence of the tracking error to a residual set based on the Lyapunovs stability theory. The residual set can be made arbitrarily small by choosing a certain design parameters.

文中设计出了这类系统的切换自适应控制律，并构造出相应的Lyapunov函数，基于Lyapunov稳定性理论证明了系统在所设计的控制律作用下，闭环信号都有界并且跟踪误差收敛到一个集合，通过选择适当的参数可使这个集合任意小。

In this paper, the asymptotic estimations of initial value solution are obtained for an eigenvalue problem with three-point boundary conditions by use of the iterate method.

本文运用叠代法，先得到一个带三点边条件特征值问题初值解，并构造了一个整函数ω，其零点集合与带三点边条件特征值问题的特征值集合重合。

The asymptotic estimations of solution of initial value problem are obtained for Dirac equation by use of the transformation matrix operator in this thesis.

本文运用平移算子，得到了Dirac方程初值问题解的渐近估计。构造了一个整函数ω，其零点集合与具有一般两点边界条件的Dirac特征值问题的特征值集合重合。

We look concept lattice as data structure to implement concept hierarchy on, and thus study how to implement basic rough set operations on concept lattice and use them as basic tools to solve complete or partial functional dependence.

我们将概念格视为实现概念层次的数据结构，研究了如何在概念格上实现粗糙集合基本运算，并将这些运算作为依据规则集合求解完全或部分函数依赖的基本工具。

In judging of the radix of an indefinite set, an one-one mapping between it and a known radix of indefinite set must be found out.

由于在判断一个无限集合的基数时，必须找出它与另一个已知基数的无限集合之间的一个双射函数。

This paper introduces the game theory and sets up, based on it, the choice model for the public transportation priority by identifying the function of the payoff and the muster of attendee and stratagem. In addition, it analyses the existence of NASH equilibrium, and puts forward the arithmetic of Iterated Elimination of Strictly Dominated Strategies in the general condition, the Integrated Strategies in the special condition and the flow chart of the model. At last, it verifies the feasibility of the model with the given example.

本文采用了博弈论的理论，通过对公交优先系统中参与者集合N、战略集合S和收益函数u的确定，建立了一种基于博弈论的公交优先技术方案选择博弈模型来量化方案选择问题；在此基础上分析了NASH均衡的存在性，并且给出了一般情况下的重复剔除劣战略和特殊情况下的混合策略两种模型求解方法以及公交优先技术方案选择博弈模型的流程图；最后通过算例分析，验证了博弈模型应用于公交优先技术方案选择的可行性。

Let G = GV(G,E,Ψ_G be a graph, where V ≠φ and E denote the vertexset and edge set of G,Ψ_G is an incidence function that associates each edge of Gwith an unordered pair of vertices of G.

对于一个图G=GV(G，E，ψ_G，我们用V≠φ和E表示图的顶点集合和边集合，ψ_G是联系着G中的边和一对无序顶点之间的关联函数。

Based on them, this paper proposes evaluation indexof fund performance from the aspect of finance, investor and interiormanagement. Considering the limitation of data envelopment analysis approach usedto evaluate fund performance, such as conventional DEA models can not considerinputs and outputs of evaluation units simultaneously, and an input-oriented DEAmodel and output-oriented DEA model often produce different evaluation results,this paper proposes a general form of DEA model which is input- andoutput-oriented by using multi-objective optimization and fuzzy set theory. Sincethe general form of DEA model can be transformed into a conventional input oroutput oriented DEA model by using special membership functions, it can beseemed as a nature extense of conventional DEA models, and a conventionalmodel can be regarded as a special case of DEA mdoel with general form.

针对现有基金绩效评价方法中较具优越性的数据包络分析方法的不足，如传统DEA模型不能同时综合考虑评价单元的输入和输出，以及分别采用面向输入和面向输出DEA模型评价基金绩效时，常常出现不一致的评价结果等，本文以多目标优化与模糊集合理论为工具，提出了一种能够同时面向输入和输出的DEA一般形式模型，并通过选择一些特殊的模糊集合隶属函数，使得这种DEA一般形式模型成为传统DEA模型的自然推广，而传统DEA模型是该模型的特殊形式。

Establishing 6 fuzzy sets such as cells with increscent karyon, cells with deeply dyed karyon, cells whose area rates of the karyon and cytoplasm are excessive and so on and 6 membership functions.The paper partitions the sample space furtherly into 4 nomarl pattern, and realizes the recognition of the cancer cells in pleural fluid.

建立了诸如细胞核增大的细胞、细胞核深染的细胞、细胞核不圆的细胞等6个模糊集合和与之相应的6个隶属函数，并根据模糊集合的运算法则将胸水细胞样本空间进一步划分为4个标准模式，实现了胸水癌细胞的识别。

As to the reasonable matching between the resources needed by multi-task and M-dimensional resources offered by multiprocessing nodes, the author offered multiple dimension set partitioning optimization models, defined the function of resource balancing degree and proposed a Multiple Dimension Set Partitioning Load Balancing Resource Optimization Allocation Algorithm, which can optimize to solve the NP problems.

针对多处理群集系统中多个任务处理需要的资源和多个处理节点能够提供的m维资源间的合理匹配问题，给出了多维集合划分问题的优化模型，定义了资源均衡度函数，提出多维集合划分负载均衡资源优化分配算法，通过该算法可以得到资源匹配NP问题的较优解。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。