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A set with an associative binary operation under which the set is closed, which contains an identity element and an inverse for every element in the set.

群二元结合运算为闭合的数学集合，具有单位元素。集合中每一元素都有逆元素

Mathematics A set with an associative binary operation under which the set is closed, which contains an identity element and an inverse for every element in the set.

群：二元结合运算为闭合的数学集合，具有单位元素。集合中每一元素都有逆元素 adj。

Firstly,the classification of probability rule is analyzed on the base of classic rough set concepts and extended to the equal relation of set in the indefinite system,namely,the upper and lower approximation space of research set is expressed in the form of conditional probability;then,according to the measure of probability rule,the attributes reduction is carried out and the classification rule is extracted by using the related parameters of condition attributes' impend precision from the angle of conditional probability;Finally,the related simulation test result is given and the result shows the classification rules with probability measures is more rational.

首先在经典粗糙集概念的基础上分析概率规则的分类，并将其推广到不确定系统的集合等价关系中，即用条件概率的形式表示研究集合的上下近似空间；然后根据概率规则的测度从条件概率的角度利用条件属性的逼近精度的相关参数进行属性集的约简进而提取分类规则；最后给出了相关的仿真实验结果，结果表明带有概率测度的分类规则更合理。

Apoluo {ap-ol-oo'-o} from 575 and 3089;; v AV - release 17, put away 14, send away 13, let go 13, set at liberty 2, let depart 2, dismiss 2, misc 6; 69 1 to set free 2 to let go, dismiss, 2a a petitioner to whom liberty to depart is given by a decisive answer 2b to bid depart, send away 3 to let go free, release 3a a captive i.e. to loose his bonds and bid him depart, to give him liberty to depart 3b to acquit one accused of a crime and set him at liberty 3c indulgently to grant a prisoner leave to depart 3d to release a debtor, i.e. not to press one's claim against him, to remit his debt 4 used of divorce, to dismiss from the house, to repudiate.

相关经文回前一页 630 apoluo {ap-ol-oo'-o}源於 575 和 3089；；动词 AV - release 17， put away 14， send away 13， let go 13， set at liberty 2， let depart 2， dismiss 2， misc 6； 69 1 使自由 2 让其离去，解散， 2a 申诉人被给予确定的答覆可以自由地离去 2b 令其离开，遣走 3 还其自由，释放 3a 指被俘之人，亦即松绑且准允离开，被给予离去的自由 3b 宣判被告之人无罪且还其自由 3c 任由犯人由牢中离去 3d 豁免一个人的债务，亦即免去其所欠人的，免了他了债 4 用以指离婚，被由家中遣走，离婚。

By extending the concepts of supremum and infimum in real space to the casein any finite-dimensional Euclidean space a weak supremum set and infimumset theory with respect to cones for the set in finite-dimensional Euclideanspace is developed,and several similar properties to the set in real space are ob-tained,with the concepts of this weak supremumset,w-D-conjugate maps and w-D-subdifferentials theory for the point-to-setmap are developed,and its several properties and its relationships with weakefficient solutions of the multiobjective programming are studied.

推广实空间中上、下确界的概念至任意有限维欧氏空间，建立了有限维欧氏空间中集合的锥弱上、下确界集理论，得到了与实空间中十分相似的性质。借助于这一理论，应用上、下确界的概念，给出了点集映象的w-D-共轭映象及w-D-次微分理论，并研究了它们的若干特性及其与弱有效解之间的关系，此外还讨论了弱鞍点问题。

The study of exceptional set has a history of half a century. In reference (2), Lento extended the famous Picard Theorem and Presented the concept of exceptional set of entire functions and meromorphic functions. And the exceptional set in his result was an infinite sequence of complex numbers.

例外集问题的研究，已有半个世纪的历史，在文献〔2〕中，Lehto推广了著名的Picard定理，并首次提出例外集的概念，在他的结论中，例外集为一无穷复数序列。

People tend to reduce an infinite set of choices down to a small, finite set of choices. Even when you don't do the exact same thing each time, you will tend to choose your actions from a small, repetitive set of options.

人们倾向于将无限的决策集合降低到最少的有限决策集合，甚至当你每次做的事并不完全相同时，也常常会从一个重复的较小选项集合中选择自己的行为。

And several rough set operation algorithms are also offered in this paper,such as upper approximation set,lower approximation set,intersection, cardinal number and so on.

通过讨论二进制与粗糙集之间的内在联系，提出基于二进制的粗糙集运算理论，并借助二进制的位运算操作，给出粗糙集的上近似集和下近似集、等价类的交、集合的基数的运算算法。

The invariant set of descending flow is a set that if the initial point in it, then all the flow in the set.

而下降流不变集就是那些如果初始点在其中，整个流线也在其中的集合。

In Chapter 1, we state some notions and results on the limit set and the attractor of Conley invariant set theory, and give some sufficent condtions for an invariant set to be a quasi-attractor.

总共分四章。第一章，简要介绍了C.Conley不变集理论中有关极限集，吸引子的概念和结果，并给出了判定不变集为拟吸引子的一些充分条件。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。