不变

The old saying," using invariability to solve the changes," do not you think it's very right.?

古语有云，"以不变应万变，"难道你不认为只是对的？

The method is a com- bination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method.

我们将在第四章利用法向双曲不变流形理论和Kopell，Chicone的延拓方法，来证明2个自由度的非哈密顿扰动系统的2维共振不变环面的存在性定理。

For a positive recurrent Markov chain, there exists a unique invariant distribution. It is interesting to study that under what conditions a Markov process has an invariant measure. This question has been studied by many authors.

对于正常返的Markov链而言，它存在唯一的不变测度，在什么条件下一个Markov过程存在不变测度是非常有趣的问题，这个问题已经被一些学者研究过。

Suppose that the random Doeblin condition is satisfied, we prove that the invariant measure exists and any initial distibution convergence to the measure with an exponential rate.

假设随机"Doeblin"条件成立，我们证明了随机环境的马氏链的不变测度存在，且任何初始分布以指数收敛速度到些不变测度。

The relationship between the invariant test and the CFAR property is studied. A theorem is founded about the proof of CFAR property using the concept of invariant test.

研究了不变检验与恒虚警率性质之间的关系，得到了利用不变检验概念证明恒虚警率性质的定理。

It is proved that nonwandering operators keep their property of nonwandering on this small neighborhood by the methods of matrices and invariant set.

利用矩阵和不变集的方法证明在非游荡算子的一充分小的领域内，非游荡算子保持它的非游荡性不变。

We prove that every isolated invariant set of averaged autonomous equation can continuous to an isolated invariant set of skew-product flow associated to the non-autonomous equations.

证明了平均自治方程的每个孤立紧不变集可以连续到非自治方程的斜积半流的孤立紧不变集上。

This algorithm was realized by minimizing the invariant ellipsoid of the closed loop system. Some sufficient conditions dependent on the invariant set for the satisfaction of the time domain hard constraints were also derived.

在系统初始状态小于某个界的情况下，将性能输出的能量作为优化的性能指标，通过最小化系统的不变椭圆域来实现系统优化控制，同时得到依赖于该不变域的满足时域硬约束的充分条件。

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

As far as the magnum opus Hindu laws of Manu is concerned, the core of law is the maintenance of caste system, through the establishment of Brahman、Kshatriya、Vaishya、Shudra these four different but changeless legal status, and makes the status sacred, which apparently extrudes the religionization of the law.

就古印度法的代表作《摩奴法典》而言，法典的核心就是维护种姓制度，通过确立婆罗门、刹帝利、吠舍、首陀罗四个原始种姓不同但又固定不变的法律地位，并使这一固定不变的法律地位加以神圣化，就这一点而言笔者以为明显突出古印度法律宗教化的色彩。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。