查询词典 permutation group

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。

The reader will need to know some basic finite group theory: the Sylow theorems and how to use them and some elementary properties of permutation groups and solvable and nilpotent groups.

读这本书之前，读者需要一些有限群论的基本知识，如Sylow定理及其应用，置换群，可解群和幂零群的基本性质等等。

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

Themethod is based on a decomposition of atomic wavefunction〓 into a product of a correlation factor 〓,partially describing the wavefunctioncharacteristics,and the other factor 〓,which is stillexpanded in the symmetric basis function of 〓permutation group.

将Li原子的波函数ψ分解为两项之积，即ψ=Xφ，X=exp-α（〓；而φ仍向〓群的对称基展开，得出超球径耦合微分方程，〓（1）其中，〓和〓为方阵，〓为对角阵，〓（2）再利用广义Laguerre函数展开法对其求解，得到系数矩阵的递推关系式。

XEX ~ Arg min{FIy E ~2} where the upper level is about topological structure optimization(a~ is a topological structure varable), and the lower level is a constrained programming about continuous variable y. 2 Apply graph, the action of permutation group on a graph, equiva- lent class, orbit etc.

取得的主要成果有： 1 依点到集的映射、集值映射、二元映射和分离定理等理论首次建立了具有拓扑结构双层规划的数学模型 min F s.t.x∈X y∈Arg min｛F|y∈Ω｝其上层规划为关于离散变量x的拓扑结构优化，下层规划是关于连续变量的约束规划。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。