1) strongly essential set
强本质集
1.
In this paper, we will base on the existence of strongly essential set and strongly essential component of set-valued mapping about the mixedδ-perturbation and around the gerneralized imformation sets game, then discuss the stability of the Nash equilibrium.
在本文中,我们将以集值映射的不动点关于混合δ-扰动的强本质集和强本质连通区的存在性为基础,围绕广义信息集博弈,讨论Nash平衡的稳定性问题。
2) continuously strongly essential set
连续强本质集
1.
In the chapter one, a concept of continuously strongly essential sets of Nash equilibrium points is introduced, and the existence and the connectence of continuously strongly essential set are proved.
在第一章中，给出了Nash平衡的连续强本质集的概念；并证明了其存在性与连通性。
3) stronger essence point
强本质点
4) essential set
本质集
1.
Let G be a graph, an independent set Y in G is called an essential independent set (or essential set for simplicity), if there is {y 1,y 2} Y such that dist (y 1,y 2)=2.
设G是一个图 ,G的独立集Y称为本质集 ,如果存在 {y1,y2 } Y ,使得dist(y1,y2 ) =2 。
2.
The efficient solutions have no properties of the upper semi-continuity and the lower semi-continuity as well as the efficient solutions which are essential always do not exist,therefore the paper mainly researches the essential set and the essential component of efficient solutions on the cone for vector optimization question.
有效解不具有上半连续性,也不具有下半连续性,本质有效解也未必总是存在,鉴于此,主要研究了锥意义下向量优化问题有效解的本质集与本质连通区,采取构造函数的方法、反证法和usco的方法,得到了锥意义下有效解集的非空闭子集本质的一个充分必要条件,得出了与有效解的本质集和本质连通区有关的其他结果。
3.
The notation of fixed point index is established on the base of the topological degree of set-valued mappings By using fixed point index, Authors study the properties of the essential fixed points of set-valued mappings and give some sufficient conditions about essential sets and essential components of the set of fixed points.
在集值映射的拓扑度的基础上建立了不动点指数的概念,并从不动点指数出发研究了集值映射不动点的本质性,给出了不动点集的本质集和本质连通区的若干充分条件。
5) the quasi essential set
拟本质集
6) essential strongly nilpotent
本质强幂零
1.
It is proved that the prime radical and the left T-nilpotent ideals of Γ-rings are essentialstrongly nilpotent and if a Γ-ring M satisfies tlie a·c· c on principal left annihilators theneach strongly nilideal of M Is essential strongly nilpotent.
讨论Γ－环的Ｔ－幂零性与本质强幂零性，给出了Γ－环具备Ｔ－幂零性的几个充要条件及充分条件，并证明Γ－环的素根、Ｔ－幂零理想及满足主左零化子升链条件的Γ－环的每一个强诣零理想是本质强幂零。
补充资料：瑞鹤仙 上高节度寿 强村丛书校聚珍版拙轩集
【诗文】：
辕门初射戟。看气压群雄，虹飞千尺。青云试长翮。拥牙旗金甲，掀髯横策。威行蛮貊。令万卒、纵横坐画。荡淮夷献凯，歌来斗印，命之方伯。赫赫功名天壤，历事三朝，许身忠赤。寒陂湛碧。容卿辈、几千百。看皇家图旧，紫泥催去，莫忘尊前老客。愿年年满把黄花，寿君大白。
【注释】：
【出处】：
辕门初射戟。看气压群雄，虹飞千尺。青云试长翮。拥牙旗金甲，掀髯横策。威行蛮貊。令万卒、纵横坐画。荡淮夷献凯，歌来斗印，命之方伯。赫赫功名天壤，历事三朝，许身忠赤。寒陂湛碧。容卿辈、几千百。看皇家图旧，紫泥催去，莫忘尊前老客。愿年年满把黄花，寿君大白。
【注释】：
【出处】：
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