All finite symmetry Boolean algebra are set algebra of a certain set X, Which has a doubly mapping.
有限的对称布尔代数都是某个带有一个对合映射的集合x上的集合代数。
For example, the set algebra for the set t defined above corresponds to a Boolean algebra of 32 elements.
例如，上文定义的集合t的集合代数就对应与一个有32个元素的布尔代数。
Based on this, the fuzzy rough set algebra is defined, and some simple properties of the fuzzy rough set algebra are discussed.
在此基础上定义了模糊粗糙集代数，并讨论了模糊粗糙集代数的简单性质。
With the definition about reasonable complement operation of the fuzzy rough set, a expanded rough set algebra is constructed by using the method of formula.
定义了模糊粗糙集合理的补运算，从而利用公理化方法构造出推广了的粗糙集代数。
The relation between rough set algebra and lattice implication algebra was studied, and the method of constructing lattice implication algebra from rough set algebra was presented.
讨论粗糙集代数与格蕴涵代数的关系以及由粗糙集代数构造格蕴涵代数的方法。
Based on the atoms and congruence relations of approximation algebra, it is proved that rough set algebra becomes pseudo-complemented ms algebra if proper complement operators are selected.
借助近似代数上的原子及同余关系，证明了在适当选取余运算之后，粗集代数就构成伪补MS代数。
The set of all such strings form a sigma algebra.
所有这样的字符串的集合形成一个代数。
In discussing any branch of mathematics, be it analysis, algebra, or geometry, it is helpful to use the notation and terminology of set theory.
在讨论数学的任何分支时，无论是分析，代数或分析，利用集合论的记号和术语是有帮助的。
It is a new task to automatically set up the kinematics mode of robots by using the system of computer algebra.
用计算机代数系统自动生成机器人运动学模型，是机器人运动学建模的新课题。
In this paper, two new operators are defined and the algebra properties of the rough set based on these two operators are discussed.
主要定义两种新型算子并讨论基于这两种新型算子的粗糙集的代数性质。
Similarly, based on the medium set theory MS, the medium relational algebra can extend the capability of relational algebra.
同样地，中介关系代数以中介集合论MS为基础，扩充了关系代数的功能。
In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.
本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。
Finally, bitemporal relation is defined as the set of the temporal mapping tuple, and the bitemporal relational algebra operations are described formally.
最后，用时态映射定义的元组对双时态关系进行定义，并由此给出双时态关系代数运算的形式化描述。
When the set of roots for a semi-simple Lie algebra have been selected appropriately, the scalar product of the weights of the elementary representation can be calculated.
在适当地选取了半单李代数的根系之后，就可算出初等表示权的标积。
When there is a positive measure on Boole algebra? This problem had more complete results, but they require some set-theoretic hypothesis usually.
布尔代数上何时存在正测度的问题，虽已有相对完整的结果，但多附有一些集论的假设条件。
This archetype generating set is just like the based solution corollary in the linear algebra.
此基模生成集相当于数学线性空间的基础解析。
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。
Both of the old and new versions textbooks set up a lot of mathematics history in geometric than in algebra.
新旧版本教材在几何内容中比在代数内容中设置了更多的数学史内容。
Relation appeas in higher algebra. They seem not relevant to each other, in fact, the relation is the development of mapping, and they are all expressed by set.
在众多关系中，二元关系是最基本的，下面从二元关系的角度出发，来探讨一下关系与映射。
Relation appeas in higher algebra. They seem not relevant to each other, in fact, the relation is the development of mapping, and they are all expressed by set.
在众多关系中，二元关系是最基本的，下面从二元关系的角度出发，来探讨一下关系与映射。
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