Examples of 'binary relation' in a sentence
Meaning of "binary relation"
Binary relation: In mathematics and computer science, a binary relation is a set of ordered pairs that establishes a connection or relationship between elements of two sets. It defines how elements from each set are related to each other, such as 'less than,' 'equal to,' 'divides,' etc. Binary relations are fundamental in various mathematical theories, including set theory, logic, and algebra
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- A subset of the Cartesian product A×A (the set of ordered pairs (a, b) of elements of A).
- A subset of the Cartesian product A×B.
How to use "binary relation" in a sentence
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binary relation
Let us start by saying what a binary relation is.
A binary relation is also called a correspondence.
One of them is the transitive closure of a binary relation.
The binary relation between parallel lines is evidently a symmetric relation.
The turnstile represents a binary relation.
Binary relation closures.
A function may be defined as a special kind of binary relation.
Let r be a binary relation.
The congruence relation for a given modulus is considered to be a binary relation.
Nature is generally articulated in binary relation to an opposing term.
The time complexity of computing the transitive closure of a binary relation.
So an irreflexive and transitive binary relation is called a strict partial order.
Let σ be a relational vocabulary with one at least binary relation symbol.
Define binary relation.
Reflexive and transitive binary relation.
See also
Consistency of a binary relation requires any preference cycle to involve indifference only.
Ownership or property of is a binary relation.
A binary relation on a set S is a subset of the Cartesian product.
Conflicts between arguments are represented by a binary relation on the set of arguments.
Is the smallest binary relation containing the binary relation R which is reflexive.
Defining almost congruent triangles gives a binary relation on the set of triangles.
Is the smallest binary relation containing the binary relation R which is transitive.
The first approach is to treat equality as no different than any other binary relation.
Such a matrix can be used to represent a binary relation between a pair of finite sets.
A binary relation R on a set X is a simple directed graph.
A corollary of the axiom is that the binary relation of parallel lines is a serial relation.
Binary relation Mathematical structure.
Notice that a cycle is neither necessary nor sufficient for a binary relation to be not transitive.
So that was a binary relation holding between 2 objects.
In the semantic web, a property is a binary relation.
Vector relation, a binary relation determined by a logical vector.
The background logic includes identity, a binary relation.
An equivalence relation is a binary relation that is reflexive, symmetric, and transitive.
In set theory, the transitive closure of a binary relation.
There is also a primitive binary relation called order, denoted by infix.
Binary relation Subclass-Of is used for building the class taxonomy.
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
The ordinary signature for set theory includes a single binary relation ∈.
A strict order is a binary relation that is antisymmetric, transitive, and irreflexive.
For example, consider the language with one binary relation symbol.
Adding a single binary relation symbol to monadic logic, however, results in an undecidable logic.
Thus, a cycle is neither necessary nor sufficient for a binary relation to be antitransitive.
Nor can we rely upon a binary relation to determine which of two points comes " first.
The all-important concept of function is defined as a special case of binary relation.
A derived binary relation between two sets is the subset relation, also called set inclusion.
Here, the evenness of zero is directly manifested as the reflexivity of the binary relation.
Directed graphs are structures with a single binary relation ( adjacency ) on the domain the vertex set.
The binary relation ⊆ defines a partial ordering relation on the set of all possible topologies on X.
In Euclidean geometry, equipollence is a binary relation between directed line segments.
The binary relation? defined by.
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