equivalence relation

释义

等价（值）关系；

英英释义

Equivalence relation

In mathematics, an equivalence relation is a relation that, loosely speaking, partitions a set so that every element of the set is a member of one and only one cell of the partition. Two elements of the set are considered equivalent (with respect to the equivalence relation) if and only if they are elements of the same cell.

以上来源于:Wikipedia

权威例句

1. This irreflexivity can be used to set up an equivalence relation.

这一反自反性可以用来建立一个等价关系。

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2. The equivalence relation defined by the (transitive closure of the) set of imposed constraints implies N L = N L

实施的约束集合（的传递封包）所定义的等价关系表明：NL = N L

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3. This irreflexivity can be used to set up an equivalence relation—that is, for Key s a and b , if comp(a, b) is false and comp(b, a) is false , then a and b must be equivalent.

这个反自反性质可以用来建立一个等价关系(equivalence relation)—也就是，对于Keysa和b来说，如果comp(a,b)为false并且comp(b,a)也为false，那么我们就说a和b是等价的。

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4. The equivalence relation is the basic Concept of the rough set theory.

等价关系是粗集理论中的一个重要概念。

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5. In rough set theory, the concept of roughness of knowledge is defined by equivalence relation and set inclusion.

在该理论中，知识粗糙性是通过等价关系和集包含定义的。

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6. In rs knowledge obtained is decided by the objects relationship such as equivalence relation and simulation relations etc.

知识获取是根据对象间的某种关系如等价关系、相似关系等来定义。

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7. The equivalence relation on a finite set is an important relation, which relates to the partition on the set.

有限集上等价关系是一个重要的关系，它同集合的划分有着密切的联系。

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8. The equivalence between theorem of equal angle of view and reversible property of low pair, applied in synthesis of plane four-bar linkage, is demonstrated to reveal essence of their relation.

用几何法证明了等视角定理和低副运动可逆性在铰链四杆机构设计中的等价性，以求揭示它们之间的本质联系。

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9. Based on the method of similarity measure, it proves that the equivalence relation of rough set can be transformed into fuzzy equivalence matrix comp.

在这种相似性度量方法基础上，证明了粗集的等价关系可以被转化为模糊等价矩阵。

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10. Recall that an equivalence relation in a set is a reflexive, symmetric and transitive relation.

记得，一个等价关系，提出了一套是自反，对称和传递关系。

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11. To classify the elements with similar relation, it is necessary to transform the similar matrix to equivalence matrix.

现实的分类问题往往伴有模糊性，对具有相似关系的元素进行分类，需要将相似矩阵改造为等价矩阵。

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12. The two properties of the matrix of fuzzy equivalence relation are proved according to the property of fuzzy equivalence relation .

根据模糊等价关系的性质，推得模糊等价关系矩阵的两个性质。

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13. This paper mainly discusses the equivalence relation between the DEA model and the game model.

文中主要讨论DEA模型与对策模型之间的等价关系。

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14. In this paper, the notion of key feature is defined based on the consistency of a decision system, then the equivalence relation between the set of all key features and the feature core is discovered.

本文基于决策系统的一致性，定义概念“关键属性”，并证明关键属性集合与属性核之间的等价性。

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15. Bisimulation is often chosen as the equivalence relation in equivalence checking.

在等价验证中，通常选择互模拟作为等价关系。

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16. It also makes use of the equivalence relation between keywords. this can reflect the relation between keywords, so it can search the Synonyms.

利用粗糙集里面的等价关系体现了关键词之间的关系，从而实现了同义词的检索。

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17. Moreover, the modified rough entropy and the fuzzy entropy based on equivalence relation is extended to the generalized modified rough entropy and the generalized fuzzy entropy.

并分别将基于不可分辨关系下的修正粗糙熵和模糊熵拓展到基于一般二元关系下的广义修正粗糙熵和广义模糊熵。

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18. The article discussed the changing relation between total alkalinity content and titration equivalence point and changed situation of methyl orange in the different PH value color.

本文讨论了水样中总碱度含量与滴定等当点的变化关系和甲基橙在不同PH值时的颜色变化情况。

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19. The shrinkage movement can be transformed temperate difference at equivalence relation.

收缩变形可用温度应力的概念换算为当量温差。

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20. The Relation Between Elevation of Equivalence Relation, Elevation of Distance, Hypertopology, Quotient topology and Topological Entropy.

等价关系和距离的提升与超拓扑，商拓扑，拓扑熵间的关系。

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21. The compatibility relation contains equivalence, subcontrariety, subaherna- tion, implication and counter-implication.

相容关系有等值关系、下反对关系、差等关系（蕴涵关系和逆蕴涵关系）；

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22. The compatibility relation contains equivalence, subcontrariety, subaherna- tion, implication and counter-implication.

相容关系有等值关系、下反对关系、差等关系（蕴涵关系和逆蕴涵关系）；

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23. transitivity of an equivalence relation

等价关系的传递

-- 来源 -- 英汉 - 短句参考

24. equivalence relation

等价关系;等价值关系;等值关系

-- 来源 -- 英汉 - 翻译参考[网络]

25. closed equivalence relation

闭等价关系

-- 来源 -- 英汉 - 翻译参考[网络]

26. use of the advantage of characterizing granularity of partial granulation, different from the single equivalence

该算法利用了偏序粒在粒度表达上的优势,区别于经典粗糙集理论中采用的单一等价关系,对同一决策表从不同的角度和多个层次来研究。

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27. pre-equivalence relation

预等价关系

-- 来源 -- 英汉 - 翻译参考[网络]

28. right invariant equivalence relation

右不变的等价关系

-- 来源 -- 英汉 - 翻译参考[网络]

29. convex equivalence relation

凸等价关系

-- 来源 -- 英汉 - 翻译参考[网络]

30. The two properties of the matrix of fuzzy equivalence relation are proved according to the property of

根据模糊等价关系的性质,推得模糊等价关系矩阵的两个性质。

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31. An equivalence relation.

等值处于等值关系

-- 来源 -- 英汉 - 短句参考

32. By taking man-made satellite module layout for example, applying the properties such as isomorph and equivalence

以人造卫星仪器舱布局为例，应用图论、对集合的作用、道与等价类等刻划各种布局方案的同构、价关系等性质，给出了圆形图元布局的问题的一种全局优化算法。

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