集代数

First we prove that all points on the imaginary axis except for zero belong to the resolvent set of the operator corresponding to the model, second prove that 0 is an eigenvalue of the operator and its adjoint operator with geometric multiplicity and algebraic multiplicity one,last by using theabove results we obtain that the time-dependent solution of the model str.

首先证明在虚轴上除了0以外其他所有点都属于该算子的豫解集，其次证明0是对应于该系统的主算子及其共轭算子的几何与代数重数为1的特征值，由此推出该系统的时间依赖解当时刻趋向于无穷时强收敛于系统的稳态解。

In chapter 4, the application of Rough Sets theory to algebra system-rings is studied.

第四章研究了粗糙集理论在代数系统——环上的应用。

In chapter 3, the application of Rough Sets theory to algebra system-groups is studied.

第三章研究了粗糙集理论在代数系统——群上的应用。

Partial ordered set is an algebraic structure. It is of great practical significance to study the relation between the order and various applied sciences, such as computer science, management science and social science.

偏序集是一个拓代数结构，建立序与计算机科学、管理科学及社会科学中各种不同的应用的联系，其研究具有重要的实际意义。

A polynomial system PS over the rational number field is constructed from the formula...,in a given many-valued logic system such that follows from ...,iff the algebraic variety defined by PS is empty, iff the idealenerated by PS is trivial.

由给定的多值逻辑系统中的一组公式，。。。，，出发，构造出了一组有理数域上的多项式PS，使得是，。。。，的逻辑结论，当且仅当PS定义的代数簇为空集，当且仅当PS生成的理想是平凡理想。

Boolean algebra with 0 expresses empty set, and one complete works.

布尔代数用0表示空集，用1表示全集。

Among the elements of a Boolean algebra are two distinguished elements:0,corresponding to the empty set;and 1,corresponding to the universal set.

在布尔代数的元素中有两个突出的元素：0，对应于空集；1，对应于全集。

Among the elements of a Boolean algebra are two distinguished elements: 0, corresponding to the empty set; and 1, corresponding to the universal set.

在布尔代数的元素中有两个特殊的元素： 0 ，对应于空集； 1 ，对应于全集。

However, in the algebraic representation of this theory, it is difficult to understand the essence of rough set theory, and efficient algorithm of knowledge reduction has not been found.

该文首先建立了知识与信息之间的关系；然后，在此基础上给出了粗糙集理论中概念与运算的信息表示；最后，证明了知识约简在信息和代数两种不同表示下是等价的。这些结论有助于人们深刻理解粗糙集理论的本质，同时，为寻找高效的知识约简算法奠定了基础

Service messages were described by tree grammar and operations for service adaptation were defined based on tree automata algebra.

提出了以树型文法表示服务的消息，并基于树型自动机的代数操作定义了服务的适配操作集，分析了该操作集的完备性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。