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Since localized Lyapunov exponents are computed over a finite time they vary from point to point of the attractor.

自从局部李雅普诺夫指数计算，在有限的时间，他们从不同的点对点的吸引。

Research results: Kolmogorov entropy is more than zero, lyapunov exponents tend to zero, correlation dimension is real number of more than 3, negative power appears partially in power spectrum in lower frequency and the FCA diagram as certain inclination.

研究结果：kolmogorov熵大于0，Lyapunov指数趋于0，关联维为大于3的实数，功率谱图中在低谱部分出现负幂，PCA图具有一定的斜率。

German culture and civilization as idealized by the exponents of German imperialism during the Hohenzollern and Nazi regimes.

德国文明在霍恩洛厄和纳粹统治期间，德国帝国主义宣扬者所美化的德国文化和文明

In the case of simply supported ends, the Galerkin method is used to simplify the integro-partial-differential equation into an integro -differential equation. The equation is further simplified into a set of ordinary differential equations by introducing an additional variable. Finally, the numerical methods in modern nonlinear dynamics such as phase plane trajectory, power spectrum and Lyapunov exponents are adopted to investigate the dynamical behavior of the beam.

对于两端简支的情形，采用Galerkin方法简化为常微分－积分方程；然后通过引进附加变量的方法进一步简化为常微分方程；最后利用相平面图、功率谱和Lyapunov指数等非线性动力学中的数值方法识别梁的动力学行为。

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下，我们证明了随机非一致指数二分性蕴含着随机一致指数二分性，同时，利用法向Lyapunov指数，我们还给出了一个紧致的随机不(来源：A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件，推广并改进了Ashwin的一些结果。

Its first exponents were Christopher Marlowe, Ben Jonson, and William Shakespeare.

最好的代表任务是克里斯托夫。马洛；本。琼生和威廉。莎士比亚。

Its first exponents were C hristopher Marlowe, Ben Jonson, and William Shakespeare.

最好的代表任务是克里斯托夫。马洛；本。琼生和威廉。莎士比亚。

Since the conditional Lyapunov exponents of its linear subsystem are all negative, the linear subsystem is synchronizable and the new chaos generator can be used for chaotic communication.

由于它的线性子系统的条件李雅普诺夫指数均为负，因而是可同步子系统，能够用于混沌保密通信。

Whether the terms crown, livre, pound sterling, etc., are not to be considered as exponents or denominations of such proportion?

是否那些条目，王冠，里弗尔，英镑，等等，并不应该被看作对于这种比例的解释者？

The degree of a monomial is the sum of the exponents of all the variables.

一个单项式的次数就是把所有代数的指数加起来。

I'm strongly against the death penalty — it's an eye for an eye.

我不赞成死刑——这是以牙还牙的报复行为。

And to get you the support you need, we're enlisting all elements of our national power: our diplomacy and development, our economic might and our moral suasion, so that you and the rest of our military do not bear the burden of our security alone.

并给你们所须的支援，我们正徵召国家所有各种的力量：我们的外交及发展，我们的经济力量与道德劝说，所以你们与其他军人不须要孤独地负起国家安全的责任。