查询词典 theorems

This leads to Rees matrix representation theorems of some generalized completely simple semigroups.

本文首先建立了某类U-半超富足半群的Rees矩阵表示定理，并由此得到了若干广义完全单半群的Rees矩阵表示定理。

In this paper, we first propose an incomplete preference in which the anti- symmetry may not hold,and then obtain many maximal element theorems with respect to incomplete preference.

为解决上述问题，我们首先提出了不要求反对称性的不完全偏好，在此基础上我们获得了许多不完全偏好意义下的极大元定理。

According to the existence results of general equilibrium problems and vector equilibrium problems have been studied more and more. Inspired and motivated by these research results, this paper is devoted to study systematically a class of equilibrium problems, which is unify and extension of a large number of known equilibrium problems and variational inequalities problems. The research is carried on from three aspects.Firstly, in finitely continuous topological spaces, we introduce four new types of the system of generalized vector quasi-equilibrium problems, and we derive some existence results of a solution for the system of generalized vector quasi-equilibrium problems via the maximal element theorems in product finitely continuous topological spaces.Secondly, in complete metric spaces, we provide the Ekeland variational principle to equilibrium problems with set-valued maps. And via the Ekeland variational principle, existence results for vector equilibrium problem with set-valued maps and the system of vector equilibrium problem with set-valued maps.

针对一般的均衡问题和向量均衡问题解的存在性，已有许多研究成果，受这些成果的启发，本文主要从理论上较为系统地研究了一类均衡问题，它统一和推广了许多已有的均衡问题和变分不等式问题，研究分有三个方面；首先，在有限连续拓扑空间中，我们提出了四类广义向量拟均衡系，并借助于有限连续拓扑空间中的极大元定理讨论了这四类均衡系问题的解的存在性问题，然后，在完备度量空间中，我们给出了关于集值均衡问题的Ekeland变分原理，并利用Ekeland变分原理分别讨论了集值向量均衡问题和集值向量均衡系问题的解的存在性。

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

Uniqueness of meromorphic function is derived from the five-value and four-value theorems in Nevanlinna Theory.

亚纯函数唯一性理论起源于Nevanlinna五值定理和四值定理。

In this paper, common fixed point theorems for converse commuting selfmaps on a metric space have been proved.

摘要通过引入度量空间中的反交换映射，证明了一个公共不动点定理。

In this paper, to study fixed-point of compact metric space , and obtain one pair fixed-point theorems of expansion Mapping and compression Mapping.

摘要研究了紧度量空间上的不动点问题。得到扩张映射与压缩映射的不动点定理。

In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric space s.

摘要文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理。

On the basis of the researching the neural network theory, presenting the neural network model (N-SearCut model) for searching for minimal cutset of a graph, proving the stability of this model, analyzing the dynamic behavior of this model, deducing a series of corresponding theorems and affording an academic fundaments for solving optimization problem based on this model.

在研究人工神经元网络理论基础之上，提出了搜索图最小割集的神经网络模型——N-SearCut模型，证明了该模型的稳定性，分析了该模型的动态特性，导出了一系列的定理，为运用该模型进行优化问题的求解提供了理论依据。

In the present paper, some theorems for variational inequalities and minimax inequality are obtained in hyperconvex metric spaces.

文章给出了超凸度量空间中的一些变分不等式定理和极大极小不等式定理。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。