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At last,we present a criterion for an Lie algebra with Heisenberg nilpotentradicals to be CS in terms of representation theory of semisimple Lie algebras.

在第二节中，我们推广了[42]中的主要定理3.3并由此构造了许多新的非极大秩可解完备李代数。1

We also introduce the countable compactness and sequential compact-ness for a De Morgan algebra of topology and study the relations between any two of theseconcepts and compactness.

同理还在德摩根拓扑代数中引进了可列紧和序列紧，研究了可列紧和序列紧之间的关系以及这两种紧性与紧之间的关系。

About the experience of design ladder program design is the application of programmable logic controller of the most critical issues, PLC ladder programming methods commonly used are: experience design, design of sequential control and logic design, such as algebra.

经验设计法简介梯形图程序设计是可编程控制器应用中最关键的问题，PLC 梯形图程序设计常用方法有：经验设计法、顺序控制设计法和逻辑代数设计法等。

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。

In first part,we define the concept of Attribute Set on Boole Algebra.

我们首先引进属性集的概念。

In mathematical terms,modern algebra is a set of objects with rules for connecting or relating those objects.

在数学术语里，现代袋鼠是一系列带有规则的客体的集合。而这些规则是关联这些客体的。

A set of symbols and associated algebra are defined to compute the propagation and detection of signals.

此方法简单且消除了传统方法在产生串音障碍测试图样时的复杂时间考量。

Linear Algebra course is set for the students of non-mathematics major in their basic courses.

很多非数学专业的基础课都设置有《线性代数》课程。

The most intuitive development of boolean algebras arises from the concept of a set algebra.

布尔代数是集合代数的概念最自然的发展。

In mathematical terms, modern algebra is set of objects with rules for connecting orrelating those objects.

解释： a set of是固定词组，表示一套、的一组，后面接可数名词的复数，与题中objects吻合

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。