群表示

Otter, who was standing on the hearthrug, describing to an admiring circle of friends exactly how he would have managed things had he been there, came forward with a shout, threw his arm round Toad's neck, and tried to take him round the room in triumphal progress; but Toad, in a mild way, was rather snubby to him, remarking gently, as he disengaged himself, 'Badger's was the mastermind; the Mole and the Water Rat bore the brunt of the fighting; I merely served in the ranks and did little or nothing.

水獭正站在炉毯上，对一群贵客描述，假如他当时在场，会怎样做。看到蟾蜍，他大叫一声跑过来，甩开两臂，一把搂住他的脖子，要拉他在屋里英雄式地绕场一周。可是蟾蜍温和地表示不屑。挣脱了他的双臂，婉转地说："獾才是出谋划策的主帅，鼹鼠和河鼠是战斗的主力军，而我，只不过是行伍里的一名小卒子，干得很少，可以说没干什么。"

Have more very person, professional acting name-calling still makes professional ad on the network,"Professional generation is scolded, language indelicacy, collect fees reasonable, bao Jun is satisfactory ", a lot of lot pass the netizen of professional acting name-calling to express, come up against this group of people, it is to not have simply language, for money, what is able come out.

更有甚者，职业代骂人还在网络上打出专业广告，"专业代骂，语言下流，收费合理，包君满意"，很多遭遇过职业代骂人的网友表示，碰到这群人，简直是无语，为了钱，什么都能干得出来。

The method that combines the effective - field renormalization group with the discretized path - integral representation is extenged to study phase transition of the transverse Ising model in a quantum - spin system on the plane triangular lattice.

将离散路径积分表示下的有效场重整化群技巧推广应用于平面三角晶格上量子自旋横向Ising模型的相变研究，在这个方法中，注意区分了两种具有相同配位数而不同几何构形的晶体，并且考虑了起伏的影响，在二阶累积量近似下，得到了接近于精确解的临界值。

Using this polynomial, a criterion for absolute irreducibility is presented.

其次，利用上述判别准则，给出这两类不可约表示的稳定化子的群结构。

For the group representation, this paper improves the known method of determining the irreducibility. Instead of solving equations and checking every combination of the roots, we calculate the value of a polynomial.

对于自由群的表示，本文首先将不可约性的判别方法，由已有文献中解方程，并对方程的根作组合的方法，改进为直接计算某个多项式的值的方法，并进一步给出区分绝对不可约性和非绝对不可约性的判别准则。

Application of HHGL to lithium atom As a starting point for exactly solving schrodingerequation for lithium,the part has twofold purpose,one isto derive the coupled hyperradial differential equation,and discuss whether HHGL can be used or not,the other isto build the symmetric basis functionfor twodimensional irreducible representation of 〓 permutationgroup and estimate the ground-state eigenenergy.

首先根据Pauli原理的要求，将N电子原子的波函数向〓群不可约表示之基展开，积分掉角度部分，推导出N电子原子的超球径耦合微分方程，其形式与氦原子耦合微分方程相似，差别表现在矩阵元〓的计算上。

In Chapter one, the theory of irreducible unitary representations on two-step nilpotent Lie groups is introduced.

在第一章中，首先介绍了二步幂零Lie群上的不可约酉表示理论。

In this paper, according to the exponential mapping relation between Liegroup SO(3) and Lie algebra so(3), we have obtained a theorem about theexponential representation of orthogonal tensors.

本文根据李群SO(3)与李代数so(3)之间的指数映射关系，得到了正交张量的指数表示定理。

The algorithm steps of particle swarm optimization for three kinds of scheduling problems are invested.

提出了求解调度问题的一般粒子群算法流程，指出了设计粒子表示方法所需要解决的关键问题。

In Chapter 3,we classify a binary-coded individual space equivalently withthe help of the ideals of Boolean algebra and analyze the search capabilitiesof a new kind of algebraic crossover operator in these equivalence classes,thenprovide the algebraic representation of a type of genetic algorithms by usingthe permutation group,therefore we can derive a lot of new forms of geneticalgorithms.

第三章运用Boole代数的理想将二进制编码的个体空间进行等价分类，分析了一类代数杂交算子在这些等价类上的搜索能力；然后利用置换群给出一类遗传算法的代数表示，由此导出多种新形式的遗传算法，并给出其中两类算法形式的收敛性结果。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。