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Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如MV-代数，Heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。

A green indicator on the screen means that the normal key set is currently active.A red indicator on the screen means that the alternate key set is currently active.

在屏幕上绿色指示灯是指正常的关键，目前active.A设置在屏幕上的红色指示灯意味着备用键设置当前处于活动状态。

Through using category theory, this paper investigates the properties of subcoalgebras, especially, the properties of subcoalgebras on Set, the category of sets and functions. This paper shows that all the subcoalgebras on Set are regular.

以范畴理论为工具讨论子共代数的性质，特别是集合范畴上的子共代数的性质，证明了集合范畴上的子共代数都是正则子共代数。

Among the many remarkable final projects that have been proposed and presented at the end of the course have been a Renaissance hourglass blown in the MIT glass shop and set into a frame turned on our set shop lathe; a four harness loom built by a student who then wove cloth on it; a number of chain mail tunics and coifs; a wide variety of costume and furniture pieces and electrified period lighting fixtures.

在以往的课程中，学生们构想并于期末展示出了很多优秀的作品，比如一个文艺复兴时期的沙漏，它是学生在麻省理工学院的玻璃工作坊吹制、并在我们布景工作坊的车床上成形的；一台由学生制作的四综纺织机，制作者真正用它来织布；许多锁子甲束腰外衣和头巾；各式各样的服饰、家俱和电气化时代的照明设备。

Riding with page stapler, and book and covers cross-nested set after a ride on the wire on the shelves of books and periodicals from the spine creases into the outside by two iron wire set up in a crate clasper is referred to as a horse.

在骑马配页订书机上，把书贴和封面套合后跨骑在订书架上，将铁丝从书刊的书脊折缝外面穿进里面，用两个铁丝钉扣订牢称为骑马订。

Basing on the 3D image data compression and in accordance with the structure characteristics of 3DLCS scanning data that the scanning data set of 3D surface can be considered as a curve set in 3D space, the thesis extends 2D curve Splitting compressing method to the 3D space and presents a 3D curve compressing method based on the curve compression and the color information compression. The 3D compressing effect is better.

在三维图像数据压缩方面，根据3DLCS的扫描数据结构特点（即可以将三维表面扫描数据集看作一个空间曲线的集合），将平面曲线压缩中的Splitting方法推广到三维情形，提出了一种基于曲线压缩和彩色信息压缩的三维数据压缩方法，取得了较好的压缩效果。

After a brief summary on data mining and rough set theory, the research works in the thesis can be descript as follows: 1. To the problem that finding rules in enormous data is very timeconsumable and the expansibility of existed algorithms is not very good, the thesis proposes a new method to discompose large data table based on the concepts of positive region and the importance of attribute in rough set theory.

Rough集理论是一种新型的处理不确定性知识的数学工具，围绕着数据挖掘领域存在的问题，本文利用Rough集理论与Rough分析工具，提出若干解决方案，同时在具体处理问题过程中引入了信息理论、因子分析等方法，与Rough分析结合使用，讨论了Rough集技术在知识发现、关联规则挖掘、模式分类以及数据清洗等问题中的应用。

At the beginning of this paper we are devoted to studying the equicontinuity on the set of periodic points. Later we are researching on the property of the invariant set and measures dimension of the self-similiar IFS.

本文前面一部分主要着眼于连续映射在其周期点集上的等度连续性的研究，后面一部分主要涉及到相似迭代函数系统不变集性质和测度的维数的研究。

You may set metal pot on the fire, but you cannot set it on fire.

你可以把金属制的锅放在火上烧，但是你不能使它着火燃烧。

This paper is focus on small set character recognition. Based on skeleton graphics, handwriting Chinese character is defined as a set of isolated branch, isolated loop and component.

本文针对小类别数手写汉字，在骨架图形的基础上，把手写汉字看作孤枝、孤环和部件的集合，并定义三者之间的方位关系，从而建立手写汉字的数学模型。

The visit of all these marauders must be anticipated, and measures taken to prevent their depredation .

应该预料到这些抢劫者的侵袭，并制定防范他们抢劫的措施。

It is no effect of him whatever threaten or speak the sense.

无论是恐吓还是讲道理对他都不起作用。