引入

Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem.

在由彭实戈引入的倒向随机微分方程的最基本的条件下，提出并证明了一个一般的反比较定理。

A deep discussion on the relationship between the Poisson's ratio and the contraction factor. Was carried out and the compatibility condition of the deformation was redefined.

分析中重点讨论了''收缩系数''与泊松比的关系，并讨论了引入''收缩系数''约束变形后的变形协调条件。

And it put out to competitive tender those services it felt it must continue to provide but believed would benefit from a dose of competition.

同时政府对于它认为必须继续提供的服务，将实行竞争性投标，并且相信可以通过引入一些竞争而受益。

The logical negation is also used in the precondition of the prototype action.Based on the set of prototype actions and the complementary abstract state space,the applicable abstract actions of certain abstract state can be obtained easily.

原型行动中同样引入了逻辑否定表示行动的执行条件，根据原型行动和互补的抽象状态空间，可以很容易得到抽象状态上的可执行抽象行动。

In using integral equation, The author brought forth some new idea about the dissection of magnet. The author also made a thorough investigation and study of the fast convergence numeric algorithm of complete and incomplete elliptic integral. In order to make full use of the computer resource, the author considered the symmetry of the magnet structure.

在应用积分方程法设计时，依据设计要求而对源区进行的剖分有独到之处，并对由剖分而引入的各类完全和不完全椭圆积分的快速收敛数值算法进行了深入探讨，还充分利用磁体结构对称性进行简化，以减少计算时间，使得当前的计算机资源能满足积分方程法之所需。

It is proved that closed pretopologies and pseudo-closure operator s on a complete lattice are corresponding one by one.

引入了预拓扑分子格的概念，并证明了完备格上的闭预拓扑和伪闭包算子是一一对应的。

The main results of this paper are given as follows: In the first chapter , the concept of fuzzy filter is introduced. Some of its properties are investigated. The structure of fuzzy filters is discussed and it is proved that the set of all fuzzy filters of a residuated lattice is a distributive and complete lattice .

本文的主要内容如下：本文的第一章在剩余格中引入了Fuzzy滤子的概念，得到了它的一些特征性质；给出了Fuzzy滤子的结构，证明了剩余格中的Fuzzy滤子之集构成完备的分配格；利用Fuzzy滤子的特有结构，在剩余格中定义了Fuzzy滤子间的两个运算""，""

However, due to the immense data, heterostructure and multiplicity of data types, complicated data structures in databases are available in the real world, those have made association rule mining face a lot of challenges, therefore, the complete concept lattice model is introduced to the study of association rule mining in the dissertation, and some studies are made on concept lattice model, algorithms, and data reduction etc.

然而，由于现实世界数据的海量、异构和数据类型的多样性、结构的复杂性等特点，对关联规则挖掘的研究提出了新的课题。本文将具有完备特性的概念格模型引入到关联规则挖掘的研究，针对关联规则挖掘的模型、方法以及数据归约等方面开展了研究，主要内容及创新工作如下：1。

Chapter one: Provide the simple introduction to basic conceptions and properties used in the article about MTL-algebra; prove the set of all the filters form a complete distribution lattice in MTL-algebra; Discussion some property characteristics of Boolean filter, at the same time introduce the conceptions of positive implicative filter and obstinate filter, receive some properties of them, discuss the relation between the important filters and their equivalent condition.

第一章：对文章中用到的关于MTL-代数的基本概念和性质给出简单的介绍，证明了MTL代数中的全体滤子之集构成一个完备的分配格；讨论了布尔滤子的一些性质特征，同时引入和固执滤子的概念，得到它们的一些性质，探讨了几类重要滤子之间的关系。

Zadeh put forward, make MTL-algebra"s filter conception fuzzified, provide the conceptions and properties of fuzzy filter, obtain the structure of all fuzzy, filters, prove that the set of all fuzzy filters forms a complete distribution lattice; Provide several fuzzy Boolean filter"s equivalent forms, introduce fuzzy positive implicative filter, fuzzy obstinate filter and fuzzy ultra filter, discuss some property characteristics and terms that transform each other under certain terms to obtain them.

Zadeh提出的模糊集思想使MTL-代数的滤子概念模糊化，给出了Fuzzy滤子的概念和性质，得到了全体Fuzzy滤子的结构，证明了全体Fuzzy滤子之集构成完备的分配格；给出了Fuzzy布尔滤子的若干等价形式，并且引入了Fuzzy正蕴涵滤子，Fuzzy固执滤子和Fuzzy超滤的概念，得出了它们的一些性质特征以及在一定条件下之间相互转化的条件。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷