查询词典 permutation group

In chapter four,we have studied the permutation group coset method in calculations of gauge field vertices which can simplified the calculation of gluonic vertices.Using this method we derived the Feynman rules of trilinear vertex and quartic vertex of gauge theory.

第四章给出了规范场顶角计算中的置换群陪集展开方法，利用该方法可以简化胶子顶角的计算，并导出了规范场的三点及四点树图顶角的Feynman规则。

In this dissertation,applying the connection decomposition and the dual assumption, we studied the SU(2)non-Abelian gauge theory and the nonperturbative vacuum of QCD. And we also discussed the permutation group coset method in calculations of gauge field vertices.

本论文主要运用联络分解思想和对偶超导方法来研究SU(2)非阿贝尔规范理论和QCD的非微扰真空，并讨论了利用置换群陪集简化方法来计算规范场顶角问题。

First, two preprocess algorithms are designed to decompose a communication request set into some continuous cyclic sequences. Then the permutation group is used to represent the ring network with fixed converters and an algorithm is proposed to classify the wavelength channels into some groups.Based on these on these ideas,a wavelength assignment algorithm is presented.For an optical ring with any fixed conversion mode,the algorithm can giv a good assignment scheme.

首先，提出了两个对环网上的请求集合预处理的算法，这两个算法可以将请求集合分解成一些连续的循环序列；然后，采用置换群来描述具有固定波长转换器的光环网，基于这种数学表示，提出了对环网上的波长信道进行分解的算法；基于这些算法，进一步提出了一个波长分配算法，该算法对于环形光网上的任意固定转换模式都能给出一个较好的波长分配方案。

The Hamiltonian operator of system of heisenterg chain function the complete basis vectors produced with permutation group to form energy matrix.

将一维海森堡体系的哈密顿算符作用于完备基矢形成能量矩阵。

The Hamiltonian operator of system of Heisenberg chain acts on the complete basis vectors produced with permutation group to form energy matrix.

计算结果：(1)位型[4，2]的第I类自旋交换在格点单、双占据及格点单、双占据共存三种情况时所得矩阵只在对称填充时相同，别况均不同。

This observation suggests that the relationship between classical and quantum systems is not so clear as it is often portrayed and that the permutation group could also be a part of the same universal symmetry as gauge invariance.

观测表明，这之间的关系经典和量子系统就不那么明确，因为它往往是描述，而置换群也可能是出于同样的普遍的对称性作为规范不变性。

For the wavelength assignment in all-optical network, our research include:(1) For the wavelength assignment on ring optical networks with fixed wavelength converters, we use permutation group to study the ability of wavelength converters, and design an assignment algorithm, which can give a good assignment scheme in any general case.

其中，在全光网的波长分配方面，主要包括：（1）对于环形光网中固定波长转换器的情况，采用置换群来刻画转换器的能力，在此基础上提出了一个对于一般情况能够给出较好波长分配方案的算法。

According to the property that all states of a certain cellular automata can build a permutation group, we can design block cipher based on this property.5. One simple cellular automata and one simple linear feedback shift register have been implemented.

根据有些细胞自动机的所有状态可以构成一个循环群这一特点，指出了利用细胞自动机构造分组密码的方式。

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。

Three-dimensional layout optimization; optimality condition; graph theory and permutation group; multi-objective programming

基础科学，数学，运筹学三维布局优化；最优性条件；图论与置换群；多目标规划

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。