代数群

Eigenvalue matrix for resolving sparse polynomial equations is constructed by deploying well arranged basis in semigroup algebra k.

本文利用半群代数k中良序基，构造了求稀疏多项式方程组解的特征值矩阵，并给出了可以构造方阵的条件。

And also we discuss the K-group of the Toeplitz algebras on the torus.

此外，我们还对环面上Toeplitz代数的K群进行了讨论。

Pages: 444 This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves—rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

页： 在数学正文中的444这标志建筑物把群论用于量力学，首先包括单位的几何学，量子理论，组和他们的表现，应用themselvesotation，洛伦茨，换变组，匀称换变组和匀称的转变的代数的然后。

The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.

第一个结论借助代数Riccati方程的解及半群理论性质推导出系统可最优化；其次讨论了系统算子的特征向量形成Riesz基时，使其系统可最优化的控制函数的具体数学表达式；最后总结了系统可最优化研究的最新结论和研究展望。

Partial Abelian semigroup is one of the generalizations of effect alge-bra which is no longer bounded.

部分Abelian半群是效应代数的无界推广。

A-completely regular semiring is introduces, and the closed relationship between the subdirect product decomposition of A-completely regular semiring and the subdirect product decomposition of its additive reduct is given by using the concept of sturdy frame of type (2,2) algebras.

介绍了A-完全正则半环，并利用(2，2)型代数的坚固构架的概念，给出了A-完全正则半环的次直积分解与其加法半群的次直积分解之间的密切联系。

Consequently it will advance digital trunked communication,especiallyTETRA,in China.

该算法在单片DSP芯片上实时实现为TETRA手机的国产化奠定了基础，也将会极大地降低TETRA手机的制造成本和价格，从而有利于推动以TETM为代表的新一代数字集群通信在我国的发展。

The invariant V (A , [1〓] that we used for unital case is the semigroup of Murry-von Neumann equivalence classes of projections in matrices over C〓-algebras together with the class of the unit.

我们用来分类的不变量（V，[1〓]）是A的矩阵代数中所有投影的Murry-von Neumann等价类所成的半群及单位元所在的等价类。

In recent years, K-theory has played an important role in studying the Operator Algebras. C. L. Jiang, J. S. Fang and Y. Cao find the connection between the uniquely strongly irreducible decomposition up to similarity of Type I operators and the K_0-groups of the commutants of the operators in 1990s.

近年来，K理论对算子代数与算子理论的发展起到了重要的推动作用。20世纪90年代，蒋春澜，房军生，曹阳等人发现了Ⅰ型算子的强不可约分解在相似意义下的唯一性与其换位代数的K_0群之间的内在联系。

The positions and functions of the inventory control in the environment of supply chain are discussed first. The analysis on main conflict problems needed to be determined is presented. Based on the algebraic Petri nets the modeling research on vender managed inventory is proceeded on. Considering the shortages of the original algorithms, the improvements are putout to speed up the search process and improve the precision of the search results. The optimizations of lots sizing problem with the objective function of inventory costs are processed by the improved optimal algorithms. By the analysis on the results of the optimization, the conditions of overtime work, out of stock, and security stock are achieved.

文章首先讨论了供应链环境下库存控制在物流管理中的地位和作用，分析了库存控制需要解决的主要矛盾；然后应用代数Petri网对供应商管理库存(Vender Managed Inventory，VMI)的模式进行了建模研究；针对原始的粒子群优化算法和遗传算法存在的不足，分别提出了改进型算法，提高搜索速度和搜索精度；运用改进的优化算法对以库存成本为目标函数的批量计划问题进行了优化，通过优化结果的分析，得出了批量生产计划安排中加班、缺货和安全库存的存在条件。

He knows that he's one of the mostdominant players in the NBA right now.

我知道他现在是联盟里最有统治力的球员之一了。

Using analysis method of BCG , the dissertation analyzed the management of voluntary service organizations .

利用BCG分析方法对我国的志愿服务组织管理进行了分析。