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In the last chapter, on the basis of theories in paper [4, 5], the notions of strong mixing, weak mixing, generator and expansion of the variable-parametric dynamical system are introduced, it turns out that in variable-parametric dynamical system strong mixing implies weak mixing and then implies transitivity; it is proved that if and both are variable-parametric dynamical system, F conjugates with G , the members of F are communicate with each other and the members of G are also communicate with each other, what's more, they are both homeomorphism, then F is strong mixing implies G has the same properties; futhermore, we prove that F is strong mixing implies F Devaney chaos in the sense of modification in variable-parametric dynamical system and that F Devaney chaos in the sense of modification if and only if G Devaney chaos in the sense of modification when semi-conjugate with and they both are communicate and homeomorphism; at last, we illustrate that F has generator if and only if it has weak generator, and we also prove that if F is expansion, then F has generator.

在第三章中，我们在文[4，5]的基础上，提出了变参数动力系统拓扑强混合、拓扑弱混合以及变参数动力系统的生成子、扩张的概念；证明了变参数动力系统拓扑强混合蕴含拓扑弱混合，进而蕴含拓扑传递；证明了：如果，为两个变参数动力系统，F与G拓扑半共轭，且F两两可交换，G两两可交换，它们均为同胚映射，那么F拓扑强混合，则G也有同样的性质；本章还证明了变参数动力系统拓扑强混合蕴含F在修改的意义下Devaney混沌；在此基础上得出了：如果变参数动力系统与变参数动力系统拓扑半共轭，它们都两两可交换，并且它们均为同胚映射，那么F在修改的意义下Devaney混沌当且仅当G在修改的意义下Devaney混沌；得出了F有生成子当且仅当F有弱生成子；如果F是扩张的，则F有生成子。

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

The Macedonians, rising up out of Semi-Arianism, gradually reached the Church's belief as to the uncreated majesty of the Son, even if they retained their objection to the homoousion as a formula.

马其顿人，上升了半arianism ，逐渐达成了教会的信仰，向uncreated陛下的儿子，即使他们保留了自己的反对把homoousion作为一个公式。

The behaviors of semi-rigid connections would make great effects on the behaviors of steel frames such as the internal forces,the horizontal deflection and the ultimate load-carrying capacity,which could not be neglected to design the steel frames .

节点的半刚性对钢框架的内力、位移和结构的极限承载力的影响相当大，在钢框架设计中不能忽视。

All the villages have semi-evergreen sacred groves, and a quarter of the area land belonging to a few chief houses should be set apart, preferably near the pond or tank and under shady trees to the south west of the main house where the snake deities would be enshrined.

所有的村庄里，一部分长有半常青神林的土地要作为少数酋长的房子，这一地区的四分之一要被隔绝开来，最好在池塘或水箱附近，而且还要处于对着祀奉蛇神、面向西南方的大树树荫下。

Calcium-based desulphurizing, including Limestone/Gypsum , Spray drying process (semi-dry process) and Eject-calcium/Humidify activation , are more convenient and cheaper technologies than other desulphurizing processes.

钙基脱硫是廉价可靠的脱硫技术，方法主要有：石灰石／石膏法、喷雾干燥法和炉内喷钙／增湿活化法以及排烟循环流化床法等。

We had no occasion to search into musty records, to hunt up royal parchments, or to investigate the laws and institutions of a semi-barbarous ancestry.

我们从来没有去搜寻发霉的记录，查找皇家的羊皮书卷，或者调查祖先半野蛮状态下的法律和制度。

Secondly, on the basis of the search for the geography and hydrometeorology in the Chabagou Catchment of Yellow River, which has the excessive and rough river sediments, TOPMODEL which is a Semi-distributed Physically-based Hydrological Model is used for the simulation of the rainfall-runoff and the accordant junction, then calibrates the parameters of the model with the data of

在"1 引言"中：建议围绕TOPMODEL模型在黄河多沙粗沙区干旱流域适用性的研究意义、国内外研究现状、本文的研究思路与预期目标进行改写，并给出有关的主要参考文献。

A L(superscript ∞) bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions. The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L估计，该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

A L∞bound estimate is provided on the solutions of a semi-linear parabolic system by the theory of phase transitions.The existence of solutions of corresponding hyperbolic system of conservation laws is studied by viscosity methods and compensated compactness framework.

讨论来源于物理相变理论的一类半线性抛物型方程组解的一致L∞估计，该结果是利用粘性法和补偿列紧框架研究相应的双曲型守恒律解的存在性的重要内容。

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