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In this project we obtain a sufficient and necessary condition for a finite group G has a p-block with a normal p-subgroup D as a defect group, a necessary and sufficient condition for a group which is an extension of a nilpotent group by an abelian group has a p-block of defect zero.

本项目中我们给出了正规p-子群是有限群G的亏群的一个充要条件和幂零群被交换群扩张的群有亏零块的充要条件。

Bermond et al claimed in [1] that 4-regular connected Cayley graphs on a finite abelian group can be decomposed into two Hamiltionian cycles.

J。—C.Bermond等在［1］中断言：有限阿贝尔群上的连通四正则Cavley图可分解为两个哈密顿圈的并。

In terms of subshifts of finite type determined by an irreducible marrix, affine maps of compacted connected metric abelian group and continuous maps of tree, the two concepts of topologically ergodic map and topologically transitive map are identical.

指出对于由不可约方阵所决定的符号空间有限型子转移而言，或紧致交换群的仿射变换及树上连续自映射而言，拓扑遍历与拓扑可迁这两个概念是一致的。

When G is a finite abelian group, the abelian group K_1, iscalculated completely mainly using the Bass-Milnor-Serre theorem, then the structure of K_1{ZG,|G|г is clear.

K_1。 3。利用Bass-Milnor-Serre定理，我们首先计算出了G是一个有限交换群时的K_1，也就计算出了(来源：e2ABC论文网www.abclunwen.com)K_1；当G是2阶和3阶循环群时，我们计算出了K_2=1，这个结果有待于继续推广，对于计算一些环的K_2群会有所帮助。

Finite-difference time-domain method was used to simulate the coupling processes of ultra-wide-band electromagnetic pulses into a cavity with a slot, and an anisotropic perfectly matched layer absorbing medium was inserted to truncate the computational lattices.

用时域有限差分法模拟超宽带脉冲入射时与目标腔体上的孔缝相耦合的过程，用单轴各向异性的完全匹配层吸收边界条件截断时域有限差分网格。

The fundamental and higher-order harmonic ultrasound fields of a zeroth-order Bessel ultrasound field and focused Gaussian field in absorbing medium are computed and simulated by solving the KZK equation using a frequency domain finite difference method.

通过频域有限差分方法求解KZK方程，对吸收媒质中的零阶Bessel超声场、Gauss聚焦超声场进行计算，得到基波和高次谐波声场的数值解和仿真图，计算仿真结果验证了上述的理论结论。

It was proved that the existence of an absorbing set and a global finite dimensional attractor which is compact, connected in the function space for the high-frequency modes coupled two Ginzburg-Landau equations.

利用了无穷维动力系统理论，证明了两个高频模态耦合的Ginzburg-Landau方程在函数空间中存在吸引域，因而存在连通的、有限维的紧的整体吸引子。

Let m be a finite μ-invariant measure of Q-matrix, as Q is totally stable, consists of a single absorbing state or single-instantaneous state, we prove that exists Q-processes P , in which m be a μ-invariant measure of P , and construct the Q-processes P .

第四章致力于μ不变测度的研究，设m是Q的有限μ不变测度，在Q是全稳定、单瞬时不可和准保守拟Q-矩阵，以及含有吸收态的情形，分别证明了存在Q过程P，使m是P的μ不变测度，并且都具体构造出Q过程。

Finite groups of matrices appear early as examples in a first course in abstract algebra, and most of the time these examples are given with integral entries.

矩阵的有限群作为例子最早出现在抽象代数的第一章，通常这些例子中的元素都是以整数元素的形式给出。

Firstly,recognise all the special words from the training texts by finite accepter and add it to the final feature set,recover the original text as well.

首先对训练文本用有限自动机识别其中的特殊词作为特征加入特征集，同时将原文还原为不含特殊词的文本。

"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了，您现在高兴了，"她说道，这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说：＂失节的以色列比失信的犹大，更显得正义。