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The chaotic planar attitude motion of a ligid spacecraft on an elliptic orbit in the gravitational field with air drag and internal damping and its control are studied. The necessary condition of occurring chaos is established by Melnikov's method. A numerical example is presented.

研究了同时存在大气阻力和结构内阻尼的椭圆轨道上平面天平动航天器的混沌姿态运动及其控制，应用〓方法给出了出现混沌的必要条件，用数值算例进行了验证。

Figure 11.1 shows a window in an empty spreadsheet , with cell D2 shaded .

图11.1展示出在空的试算表的一个视窗，和 D2的遮蔽。

First, theoretical analysis methods were used for the static analysis of the suspension bridge. The formulas for endogen force of the asymmetry suspension bridge through elastic theory were deduced and they were contrasted with those of the normal suspension bridge. The basic differential equation of deflection theory was deduced and the method of getting the roots of the equation was offered, and some simplified methods for deflection theory were presented.

推导了非对称式悬索桥弹性理论的内力计算公式，并对比了其与对称式悬索桥弹性理论的内力计算公式的异同；推导了非对称式悬索桥挠度理论的基本微分方程，并且给出了部分均布荷载作用下基本微分方程的试算方法；提出了挠度理论的几种简化计算方法。

This paper analyzes the characteristics and evaluation principles of sci-tech achievement,and then develops an assessment method,the income model,based on equipollence theories to assess the value of sci-tech achievement.

分析了科技成果的特点和评估原则，基于等价理论给出了科技成果的估价模型，并以算例分析了某公司科技成果的估价问题。

In the third chapter,we will discuss the properties of Haar measure,and then wewill prove the Ergodic theorem;at last,we follow Dale,Baaj and Skandalis to give twoexistence theorems of Haar measure,which we proved in different language.

在第三章我们讨论了Haar测度的性质，证明了〓双代数中的平均遍历定理，并且用算子的观点叙述证明了Dale和Baaj、Skandalis分别给出的两个Haar测度存在定理。

After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system.

首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius-Perron算子的泛函分析与数值分析；最后《确定性系统的统计性质》介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

Jiu Ding,Aihui Zhou,Statistical Properties of Deterministic Systems Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two probIems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation.

摘要本书介绍的是确定性离散动力系统统计性质的基本理论与计算方法，首先介绍了遍历理论的一些经典结果；然后着重研究了对应于混沌映射的绝对连续不变测度的存在性与计算问题，这归结于相应的Frobenius—Perron算子的泛函分析与数值分析；最后本书介绍了Shannon熵、Kolmogorov熵、拓扑熵以及Boltzmann熵，并给出了不变测度的一些最新应用。

We characterize the left joint spectrum, generated C * algebra C * and Taylor essential joint spectrum of the n tuples of dominated operators in this paper.

给出了控制算子组T的联合左谱，生成的C 代数C以及Taylor本性谱的刻划

Two relevant examples are also presented in the paper to illustrate the evolvement characteristics of ...

文章给出了相应的算例，一定程度上讨论了前向神经网络的演进特征。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新