In order to find the common laws of the basic theories of the special theory of relativity and general theory of relativity,an unchanging system and a correspondence changing system are defined,and the concepts of correspondent equation,essential equation and similar equation are put forward,three correspondent equations between correspondence systems are summed up.
为了找出广义相对论与狭义相对论基础理论的共同规律定义了不变系统和对应变化系统,提出了对应方程、本质方程和同类方程概念,总结出两对应系统间的三个对应原理,并指出,只要找到对应系统间任意一对对应方程,就很容易地由不变系统的其它方程直接写出对应变化的对应方程。
Bilinear systems, matrix systems and right-invariant systems are distinguished first.
在界定了双线性系统、矩阵系统和右不变系统后,归纳出已有的3种不同系统的可控性定理,重点放在对右不变系统的可控性定理的总结以及与双线性系统可控性之间的关系上,特别强调了它们的可控性定理主要是根据李群、李代数的特性来判断的,以类似方法详细分析各种不同情况下的量子系统的可控性定理,通过对比,指出现有的有关量子系统可控性定理与双线性系统可控性定理之间的对应关系,由此揭示每一种量子系统可控性定理的适用情况以及各种不同量子系统可控性概念之间的相互关系。
In this thesis, we investigate the inherent relations of dynamical properties between the dynamical system of compact metric space and its induced system: the set-valued discrete system along with its invariable subsystem.
本文主要讨论了紧致度量空间上的动力系统与由它诱导的集值离散系统以及集值离散系统的不变子系统之间的动力学性质的内在联系。
