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binary relation
Definition
1. mathematical concept expressing a relationship between elements in two sets 2. subset of the... See more
二元关系
二元關係
One of them is the transitive closure of a binary relation.
二元关系的传递闭包 就是其中之一。
Such a matrix can be used to represent a binary relation between a pair of finite sets.
这样的矩阵可以用来表示一对有限集合之间的二元关系
Suppose X and Y are arbitrary sets and a binary relation R over X and Y is given.
假设X和Y是任意集合并给出在X和Y之上的二元关系R。
In other words, the two approaches yield essentially equivalent concepts, a set equipped with both a binary relation and a binary operation, such that each one of these structures determines the other, and fulfil the conditions for partial orders or meets, respectively.
换句话说,两种方式生成本质上等价的概念,集合配备了二元关系和二元运算二者,使得每个结构都由另一个确定,而且分别满足偏序或交的条件。
The binary relation "is approximately equal" between real numbers or other things, even if more precisely defined, is not transitive (it may seem so at first sight, but many small differences can add up to something big).
实数 或其他对象上的二元关系 "约等于" , 即使进行精确定义,也不具有传递性(即使看上去有,但许多小的差 能够叠加成非常大 ) 。
In mathematics, the transitive closure of a binary relation R on a set X is the smallest relation on X that contains R and is transitive.
在数学中,集合 X 上的二元关系 R 的 对称闭包 是 X 上包含 R 的最小的对称关系。
Admittedly, the parties may clear for their particular use, notary public to provide advice, and thus established the notary legal meaning and legal consequences of binary relation framework to judge, but the notary the requirements are given based on the advice can only be based on special agreement, which is based on the notarization law item 5 of article XII of the meaning should be application of the parties to provide notarial legal advice.
诚然,当事人也许会明确针对它们的某种特定使用,要求公证人提供咨询意见,并以此确立了公证人判断法律意义和法律后果的二元关系框架,但公证人基于这种要求给予的咨询意见也只能是基于特别约定,即基于公证法第十二条第五项意义上应当事人申请提供公证法律咨询。
In particular, since they are modal algebras, they can be represented as fields of sets on a set with a single binary relation, called a modal frame.
特别是,因为它们是模态代数,它们可以被表示为在叫做 模态框架的一个单一二元关系上的集合的域。
A binary relation on a set that is reflexive and symmetric is called a compatible relation.
一个集合上的二元关系,如果它是自反的也是对称的,可称它为相容关系。
A concept or a category A is regarded as equivalent to another concept or category B if they satisfy the binary relation of "if and only if", or satisfy both the necessary and sufficient conditions for fulfilling each other.
只有当甲和乙均满足了" 如果而且只有如果" 的双重关系,或者满足了相互推动的必要充足条件,概念甲或类别甲才可以被看作等同与概念乙或类别乙。
For example, the first-order signature for set theory includes only one binary relation, ∈, which is intended to represent set membership, and the domain of discourse in a first-order theory of the natural numbers is intended to be the set of natural numbers.
例如,集合論的一階標識包括一個二元關係∈,預期用來表示集合的元素關係;自然數的一階理論中的論域預期為一自然數的集合。
Another historical turnpoint can be traced back to 1895, when Georg Cantor proved in a theorem that if a binary relation is linearly ordered, then it is also isomorphically embeddable in the ordered real numbers.
另一個歷史性的轉捩點可追溯至1895年,喬治·康托爾證明的定理,如果一個二元關係是線性排列的,那麼它可同構嵌入於有序的實數。
Matrix to determine whether it is reflexive and symmetric, Discrete Mathematics in the binary relation.
判断矩阵是否是自反的,对称的,离散数学中的二元关系
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