群

The theory of group: This is one of the most oldest and richest branches of abstract algebra.

二。群论：群论是抽象代数学里发达最早而内容最丰富的一个部门。

To sum up, in order to improve 'problem solving ability', blended Problem-Based Learning Model could be adopted, raising suitable learning models according to corresponding learning styles: Accommodator is suitable for team learning, in-group discussion platform and blog learning platform: Diverger is suitable for individual competition, guided online course, blog learning platform and Vodcast learning tool: Converger is suitable for competition, experts' forum, scenario guidance and in-group discussion platform: Assimilator is suitable for learning through Vodcast and Podcast learning tool.

最后，提出若要提升「问题解决能力」，可利用混成式问题导向学习模式；分别针对各学习风格提出适合的学习模式，适应者适合合作学习、群组讨论平台及Blog学习平台，发散者适合个别竞争、老师引导式线上课程、Blog学习平台及Vodcast学习工具，收敛者适合竞争、专家社群、情境式引导及群组讨论平台，同化者适合Vodcast及Podcast此两种学习工具来学习。

Its results showed that ratio of length to width of petal and sepal and the degree of flat of achene within population were characterized as the most stable characters and gradually increased with the increase of latitude.

结果表明，居群内，瘦果扁平度、花瓣长宽比、萼片长宽比变异最为稳定，居群间，这3个繁殖器官的相对性状呈现随着纬度的增加逐渐增大的趋势，并且随纬度的增加，核型不对称系数呈现不断增加而染色体总长不断减小的趋势。

Though the microorganisms capable to metabolic H〓S and CH〓SH respectively are Thiobacillis, their physiological characteristics are different. The former is acidophile, the optimum range of pH for which is 1～4; whereas, the latter is neutrophile.

代谢H〓S和CH〓SH的微生物菌群从形态上均有杆状硫细菌的特征，但两种菌群的生理特征不同，代谢H〓S的硫杆菌属嗜酸性微生物，代谢CH〓SH的硫杆菌属嗜中性微生物。

The results were astounding: Everyone in the vaccine group acquired immunity to malaria; everyone in a non-vaccinated comparison group did not, and developed malaria when exposed to the parasites later.

结果十分令人惊骇：带有"疫苗"的那一群人对疟疾产生免疫；相反的另一群却没有效果，当暴露在有寄生虫的环境中患上了疟疾。

The rational points of an elliptic curve forms an additive group. The discrete logarithm problem of this group is called elliptic curve discrete logarithm problem.

椭圆曲线上的有理点会形成一个加法群，此加法群上的离散对数问题称为椭圆曲线离散对数问题(elliptic curve discrete logarithm problem)。

We develop his ideas by finding some algebraic invariants under the adjoint actions of the group in addition to the Killing form and give a rigorous proof of the optimality of the one-parameter systems for the symmetry group of the given equations.

本文系统地研究了1+2维非线性发展方程的对称代数，证明了该方程容许一个七维李点对称群，利用Olver提出的方法，详细地建构了1+2维非线性发展方程的一维最优系统，在此基础上我们发展了他的方法，发现了除Killing型之外的其它六个在群伴随作用下的代数不变量，利用这些不变量证明了该最优系统的最优性。

We discussthe propertiesofthe adjoint operator of unilateral weightedshift,prove that is astrongly irreducible Cowen- Douglas operator, and compute the 0 group of the commutant algebra of .

计算了代数я={f：f在开圆D盘上解析，在■上连续}的K_0群，讨论了内射单边加权移位算子的伴随算子的性质，证明了是强不可约的Cowen-Douglas算子，然后计算出的换位代数的K_0群

It is proved that the least squareestimators of linear estimable functions of regression coefficients areadmissible under matrix loss and minimax. The necessary and sufficientexistence conditions are derived for the uniformly minimum riskequivariant estimators of linear estimable functions ofregression coefficients under an affine group and a transitive group oftransformations respectively. It is also proved that there are no UMREestimators ofthe covariance matrix and variance under an affine groupof transformations and quadratic loss functions.

本文证明了回归系数的线性可估函数的最小二乘估计是极小极大的且在矩阵损失函数下是可容许的；还分别在仿射变换群和平移群下导出了存在回归系数的线性可估函数的一致最小风险同变估计的充要条件，并证明了在仿射变换和二次损失下不存在协方差阵和方差的 UMRE 估计。

It is a significant project for the whole media convergence cluster to agglomerate and construct its industrial value chain.

媒介融合集群产业价值链的整合和构建对媒介集群产业而言不失为一项意义重大的工程。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！