查询词典 hyperbolicity

Exponential dichotomy describes a kind of hyperbolicity of the system. That is, the state space can be decomposed into a direct sum of two subspaces, which are continuous and invariant. And with the time evolving forward, the system is exponentially attracting in one subspace and exponentially expanding in the other subspace.

指数二分性描述了系统的一种双曲性现象：状态空间可以分解成两个连续不变的子空间的直和，随着时间的正向变化，系统在其中一个子空间上表现出指数压缩行为，而在另一个上面表现出指数扩张行为。

For that aspect, a rather complete theory exists under a certain assumption of structural stability, called hyperbolicity.

对于这一方面，在某种被称为双曲性的结构稳定性的假设下存在着相当完善的理论。

In the thesis,the obstruction set theory of Professor Liao Shantao is extensivelyused besides the classical hyperbolicity theory.

在论文中，我们大量运用了廖山涛教授的阻碍集的理论，除此之外当然还用到了传统的双曲性理论。

In§1.2, after some necessary preparation on dynamical systems, we introduce the concepts of hyperbolicity and Axiom A for flows.

在§1.2中，在介绍了一些动力系统的必要知识后，我们对流引入了双曲性与公理A的概念，并且不加证明地罗列了一些与此有关的结果。

A strict proof of the hyperbolicity of the multi-class LWR (LighthillWhitham-Richards) traffic flow model, as well as the descriptions on those nonlinear waves characterized in the traffic flow problems were given. They were mainly about the monotonicity of densities across shocks and in rarefactions.

证明了交通流多等级LWR(Lighthill-Whitham-Richards)模型的双曲性质，并根据交通流的特征给出关于其非线性波的描述，主要包括车流通过激波和稀疏波时密度和速度的单调性变化。

Key words: applied mathematics; hyperbolicity; hyperbolic conservation laws; multi-class traffic flow Lighthill-Whitham-Richards model; Riemann invariants

引用格 式：杨建伟，王可，王红利。多等级交通流LWR模型的双曲性和Riemann不变量。中国科技论文在线精品论文，2009，2(1)：25～32。

For the head-teacher of the class said that I had seriously broken the school rules,which led me to a three-day suspend class.

为什么呢？因为我的班主任说我严重的违反了校规，于是让我停课三天。

Many of them believe that the conversion of thousands of working-class folk in England spared that nation from the mass carnage and the tyranny that came with the revolution in France.

他们之中有许多人相信，在英国数以千计的劳工阶级之悔改信主使英国免於遭受如法国大革命所造成的大屠杀和专制暴政。