查询词典 group representation

Based on the point that there is something in common between the rules of matrix multiplication and the figure connection in braid multiplication, this paper gave a new representation of braid group called node matrix representation.

利用矩阵乘法规则与辫子乘法中图形的上下对应连接有类似之处这一特点，提出一种用结点矩阵表示辫子的方法。

The paper aims at the difficulty of preference representation, according to the concept of preference number and structure and compound rule, builds the model for aggregating group preference, and denotes preference structure with model of neural network, then gives out a methodology that preference is denoted by interval number, builds the model based on neural network and group preference, so preference representation is nonlinear, self-adapting, relearning.

针对决策偏好表示和集结的难点，在给出偏好由数量描述和结构描述的概念基础上，根据群体决策复合准则，建立了群体决策偏好集结的模型，并将神经网络模型用于表示决策者的偏好结构。提出用区间数表示决策者偏好的方法，建立群体偏好表示的神经网络模型，使得偏好的表示具有非线性，自适应及可学习的特点。

Also in the 3-D space, we assign the 20 amino acids to 20 vertices of the dodecahedron. By the symmetry of the dodecahedron we obtain 3-D representation of 20 amino acids, and 3-D graphical representation and the corresponding numerical sequence of protein sequences. And similarity and dissimilarity analysis based on the invariants of graphs and characteristics of numerical sequences are given for nine RNA secondary structures of RNA-3 of virus. We construct sequence phylogenetic tree of a group of cytochromes C protein.

在DNA三联体密码子表示的基础上，在半复平面上给出了蛋白质序列的非退化的2-D图形表示，同时利用复向量的主要特征—模和相位，给出了蛋白质序列的一种数值刻划，进一步在3-D空间里，把20种氨基酸分别分配给正12面体的20个顶点，根据正12面体的对称性得到了20种氨基酸的3-D表示，进而得到了蛋白质序列的3-D图形表示和对应的数字序列，并利用图的不变量和数字序列的特征比较了9种动物的神经元

Atlast,we consider the tensor product representation of quantum group Uqslandthe representation of Hecke algebra Hwhich commutes with that of Uqsl.

最后，考虑了量子群Uqsl的张量表示及其与之可换的Hecke代数H的表示。

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。

This article, in the term of Eigenfunction method of Quantum mechanics, illustrated indetail the Irreducible representation (Irreducible representation marices) of Reprensentation group of computatile space group and the disposition of phase factor of Irreducible representation basis and the disposition method of plase factor of clebsch-Gordaw coefficients in the process of the computation.

利用量力学中的本征函数法详细讨论计算空间群的表象群的不可约表示及IR基时位的处理，以及讨论了C—G系数的计算中的位的处理方法。

We found , however, that the concept of hyper-operator itself is very important for quantum physics , group representation and Lie algebras.

本文内容的具体安排如下：第一章介绍了线性空间，赋范线性空间，Banach 空间，内积空间和Hilbert 空间的概念。

Knot Group;Permutation Group;Representation Of a Group;Computer Algorithm

纽结群；置换群；共轭类；群表示；计算机算法

This paper gives group representation of the spherical rotor in three-dimension space; it searches the rotor orientation in state space that consists of outputs of 96 sensors, but traditional single-nod-search method may get into local minima.

对转子球体的三维旋转进行了群描述；针对96个传感器的输出所构成的位置空间进行搜索，而传统的单点搜索会陷入局部极小值。

Similarly, investigations on the information encoded in finite physical resources will also be helpful for improving the efficiency of state measurement, storage, etc.. This dissertation focuses on some theoretical investigations of quantum state estimation together with discrimination process, and is organized as follows. In the first chapter, we introduce some basic concepts and related background materials, including the theory of quantum operation and unitary group representation, which is helpful for understanding the following content of this dissertation.

在量子密码通信的安全性研究中，测量可获取信息直接关系到窃听能否成功，这实际上对应于量子态的操作和识别过程；在量子通信信道容量、以及态编码的研究中，考察如何利用有限的物理资源标识尽可能多的量子态信息，对提高信息测量、存储的效率都很好的指导意义。

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。