1) essential normality
本质正规
1.
The thesis mainly concerns the essential normality of Hilbert modules over the unit ball, and its related geometry and analysis.
本文主要讨论单位球上Hilbert模本质正规性及其相关的几何分析。
2) normal prime class
正规质类
1.
Morita Context theory is an efficient method of studying associative rings and algebras (see[l, 4, 5] et) In this paper, we give the necessary and sufficient condition for a Morita Context ring belongs to normal prime class &.
本文首先给出Morita Context环属于正规质类的充要条件。
3) essential regulation
本质规定
1.
In this paper, from the theory of rationality, the essential regulation of rationality of technical innovation and the rationalized principle of technical innovation were investigated aimming at the problem in the activity of technical innovation.
针对技术创新活动中存在的问题,从合理性理论出发,对技术创新活动合理性的本质规定、技术创新活动的合理化原则等问题了进行探讨。
5) properly essential
正则本质
1.
On the basis of Foguel s L1 Theory and the general theory of Markov Chains,the author discusses the properties of states for Markov Chains in random environments,obtains a sufficient condition for strongly recurrence states and the relationship between strongly recurrence states and properly essential states and,meanwhile,obtains the relationship between conservative set and its subset.
利用马氏链的一般理论和Foguel的L1理论,讨论了随机环境中马氏链状态的性质,得到了状态强常返存在的充分条件、状态正则本质与强常返的关系,以及在一定条件下保守集与其任意非空子集的关系。
2.
equivalent propositions of inessential or improperly essential set and a sufficient condition of properly essential for a state are obtained.
利用一般马氏链的理论和Foguel的L_1理论,讨论了随机环境中马氏链的状态分类,得到了集合非本质或非正则本质的等价条件,以及状态正则本质的充分条件。
3.
On the aspect of the classification of states,first we study some properties of weak recurrence and the contact between recurrent and properly essential in skew product Markov chains.
在状态分类方面我们首先给出了绕积马氏链中强常返与正则本质之间的关系和弱常返的一些性质；其次给出了最小可达与一致可达一些相似的结果；再次给出了绕积马氏链的状态分解；最后利用Hopf链的理论给出了保守集存在的条件及不变概率的存在条件和不变概率的具体形式。
6) Normalizer Property
正规化性质
补充资料：本质映射
本质映射
essential mappng
本质映射[.皮刘间..月，甩;ey叫eeTaea一oe oTo6一a-狱e朋el 把拓扑空间x映成闭单形r”的连续映射f，使得在集合f一’(于·\尹)的所有点上和f相同的任何连续映射关:x~于”都是映成整个于·的映射.例如，把于”映成自身的恒等映射是本质映射.【补注】本质映射用来刻画正规空间的夜盖维数(见维数(山庄猫沁n)).正规空间(nom词sPa以治)的概盖维数)n的充要条件是:存在一个把该空间映成”维闭单形尹的本质映射.
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条