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The outer automorphism group of the free product of two syclic groups is constructed, and two exact formulas for calculating its order are established.

具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.

文 [1 ]给出了判断一个置换矩阵是否属于自同构群的充分必要条件，文 [4]在此基础上利用矩阵广义逆理论对自同构群进行研究得出了一些有用的结论。

Local discontinuous Galerkin method for convection-dominated diffusion problems with periodic boundary conditions is constructed. To deal with the derivative of second order, an auxiliary variable is introduced. The stability and error estimations are presented simultaneously.

针对具有周期性边界条件对流占优的扩散问题中的二阶导数，引入辅助变量，构造了局部间断Galerkin方法，并给出了方法的稳定性结果和误差估计式。

Secondly, by using of the medium axiomatic set theory, a natural number system in MS is constructed, and it is proved that five axioms of Peano′s natural number system are theorems is MS.

其次，利用中介公理集合论MS的相关理论，构造了MS中的自然数系统，证明了Peano5条公理为MS中的定理。

A general model supporting the most commonly used scheduling algorithms for multi-core CPU is constructed by a PTL formula S, and the desired property of the system is described by a PTL formula F, then whether the system possesses the property can be identified by proving whether or not S implying P is a theorem based on the axiomatization of PTL.

使用PTL公式建立了支持当前主流进程调度算法的多内核处理器进程调度一般模型S，并将系统期望的性质描述为PTL公式P，在PTL公理系统的基础上，通过证明S蕴含P是否为一个定理来验证系统是否具备该性质。

A back electromotive force observer is constructed to acquire the information of speed as well as acceleration. By selecting the time constant or observer gain properly, the current command reduction characteristics can be adjusted freely in some range.

其中的反电动势观测器能方便地获得速度和加速度信息，通过适当调整观测器的时间常数和增益，就能使驱动电流指令值在一定范围内自由调解以达到控制目的。

Each quality constructed costume features a soft underside and a stretch back panel for easy on and off.

每一个质量服装采用了柔软的底部和背面延伸，方便上下车。

The effect of QTL mapping was influenced by many factors including population structure and size, number of QTLs, density of genetic markers, heritability of traits etc., especially the genetic and statistic models, so it is essential to select appropriate method according to actual situations before mapping QTLs. In this study, backcross population for QTL mapping was constructed by computer simulation in order to study power of detection and mapping precision of QTLs at different levels of factors.

影响QTL 定位效果的因素很多，包括群体类型、规模、涉及的QTL 数目、遗传标记的密度、性状遗传力等等，特别是分析中使用的遗传和统计模型对QTL 检测和定位有较大的影响。

On the basis of sensitivity analyses using the PROSAIL model, the present study demonstrates an approach that uses a neural network based on image classification incorporated in PROSAIL for accurate retrieval of LAI. By including the soil reflectance index in the original PROSAIL model to take the place of soil background reflectance parameters that are difficult to determine, specific neural networks are constructed corresponding to individual types of vegetation cover.

在PROSAIL模型敏感性分析的基础上提出了一种基于影像分类的神经网络反演方法，引进了土壤反射指数用于替代原模型中难以确定的土壤背景反射参数，分别针对不同植被类型建立各自的神经网络，对经过大气纠正后的Landsat ETM+影像进行了模拟实验并同野外实测LAI数据进行比较。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切