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After descibing the concepts, definitionsand operation approaches of quantum group and SLq(2) Lie algebra, the physicalmeaning of quantum group particles is explained in the present thesis. The gaugeinvariance in SLq(2) gauge field and its thermodynamics model is considered basedon the idea of q-deformation. The zero energy gap equation and q-deformed energygap equation are derived under the assumption of q-quantization and semi-classical q-quantization, then the zero-temperature energy gap A(0,q) and crititical temperature〓 can be calculated from the q-energy gap equation.

在介绍了量子群和SLq(2)李代数的基本概念，定义和运算方法后，文中进一步阐述了量子群粒子的物理意义；在q变形思想基础上，本文研究了SLq(2)规范场及其热力学模型中的规范不变性质，并在q量子化和半经典q量子化的假设下导出了零能隙方程和q变形能隙方程；然后从q能隙方程计算了与零温度能隙△(0，q)和临界温度〓。

My understanding was that General Grant thought it wise and prudent to give all these officers appropriate commands, that would enable them to regain the influence they had lost; and, as a general reorganization of all the armies was then necessary, he directed me to keep in mind especially the claims of Generals Buell, McCook, and Crittenden, and endeavor to give them commands that would be as near their rank and dates of commission as pos-sible; but I was to do nothing until I heard further from him on the subject, as he explained that he would have to consult the Secretary of War before making final orders.

我的理解是：一般格兰特认为明智和审慎的做法是让所有这些人员适当的命令，这将使他们能够恢复他们失去的影响力，以及为所有的军队一般的重组，当时有必要，他指示我保持特别是考虑到索赔将军比尔，麦库克和克里滕登，并努力给他们的命令，将尽量接近他们的级别和日期作为POS机，要将佣金，但我是做什么，直到我听到他进一步对的主题，因为他解释说，他将不得不作出最后命令前咨询的战争秘书。

Generalized the main function of that system and explained the movement environment of the system at the sametime.

本文详细的介绍了远程教学系统这个课题来源以及课题的重要性和发展状况，并概括了该系统的主要功能，同时还说明了系统的运行环境。

This text introduced the source、the importance and development conditions of the engineering of the Long range teaching system. Generalized the main function of that system and explained the movement environment of the system at the same time.

本文详细的介绍了网络教学系统这个课题来源以及课题的重要性和发展状况，并概括了该系统的主要功能，同时还说明了系统的运行环境。

By using the generalized central limit theorem, the heavy-tailed distributions (heavy-tailed Rayleigh distribution for amplitude image and heavy-tailed exponential distribution for intensity image) are obtained from the symmetric stable distributions of real and imaginary parts of echoes. Taking the heavy-tailed Rayleigh distribution as an example, the algebraic tails of heavy-tailed distributions are explained as well as the statistics of sharp peak and heavy tail.

本文使用广义中心极限定理，由雷达回波的实部和虚部的对称稳定分布，得到SAR图像的拖尾分布（幅值图像的拖尾Rayleigh分布以及强度图像的拖尾指数分布），并以拖尾Rayleigh分布为例，讨论了拖尾分布的代数拖尾特征以及尖峰厚尾的统计特性。

The genitive case must be interpreted so as to include the full meaning of πρωτοτοκο, as already explained.

正如所已经解释的，所有格的诠释必须涵盖到πρωτοτοκο完整的意思。

She always explained a wide variety of the things to me in a gent voice.

她常常用温和的口气，对我解释种种事情。

Some geomagnetic anomalies of unknown origin can be easily explained by this phenomenon.

这一现象能很好地解释一些来源不明的地磁异常。

Not only are geometric meaning, but also physical rules are explained and recognized through mathematics models.

不论几何意义或是物理定律都经由数学模式来解读和认知。

The relationship between the light transmission and the porous structure of the membrane can be explained by the geometrical optics principles.

设计了透光率测试装置，以光在不均匀介质中发生漫反射和漫折射的原理，解释膜内部多孔结构与透光率的关系。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。