Examples of using Binary relation in English and their translations into Portuguese
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Colloquial
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Official
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Medicine
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Financial
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Ecclesiastic
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Ecclesiastic
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Computer
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Official/political
The turnstile represents a binary relation.
This time, the binary relation is of the‘yes-no' type.
For example, consider the language with one binary relation symbol.
This corresponds to a binary relation, say G(f, i) on FIRST_NAME X LAST_NAME.
The first approach is to treat equality as no different than any other binary relation.
Given a domain"D", let binary relation"R" be a subset of"D"×"D.
Here, the evenness of zero is directly manifested as the reflexivity of the binary relation.
There is also a primitive binary relation called order, denoted by infix.
A finitary function on the natural numbers is called arithmetical if its graph is an arithmetical binary relation.
The fundamental primitive binary relation is Inclusion, denoted by infix"≤.
The binary relation formula_3 relates a formula to a truth value: formula_4 means that formula_5 is true, and formula_6 means that formula_5 is false.
Set theory begins with a fundamental binary relation between an object o and a set A.
A derived binary relation between two sets is the subset relation, also called set inclusion.
Such a matrix can be used to represent a binary relation between a pair of finite sets.
Adding a single binary relation symbol to monadic logic, however, results in an undecidable logic.
The signature has equality and a single primitive binary relation, set membership, which is usually denoted∈.
This defines a binary relation on strings, called the prefix relation, which is a particular kind of prefix order.
Basic concepts and notation==Set theory begins with a fundamental binary relation between an object and a set.
The transitive closure of a binary relation cannot, in general, be expressed in first-order logic FO.
In mathematics, especially in order theory, a preorder orquasiorder is a binary relation that is reflexive and transitive.
Given a grammar, the binary relation(pronounced as"G derives in one step") on strings in is defined by.
Assuming that identity,denoted by infix"=", is part of the background logic, the binary relation Proper Part, denoted by infix".
An equivalence relation is a binary relation that is reflexive, symmetric, and transitive.
Terminology==In general terms, a calculus is a formal system that consists of a set of syntactic expressions("well-formed formulas"), a distinguished subset of these expressions(axioms), plusa set of formal rules that define a specific binary relation, intended to be interpreted to be logical equivalence, on the space of expressions.
In the special case with just one binary relation, we obtain the notion of a graph homomorphism.
More formally, given a binary relation R⊆{\displaystyle\subseteq} P× Q between sets P and Q, one can call a subset P* of P an"abstract exact cover" of Q if each element in Q is RT-related to exactly one element in P.
In the case of graphs(in the signature consisting of one binary relation), subgraphs, and its weak substructures are precisely its subgraphs.
Set theory begins with a fundamental binary relation between an object o and a set A. If o is a member(or element) of A, the notation o∈ A is used.
In mathematics, a directed set(or a directed preorder or a filtered set)is a nonempty set A together with a reflexive and transitive binary relation≤(that is, a preorder), with the additional property that every pair of elements has an upper bound.
The new component R{\displaystyle R}is a binary relation relating values in the domain to plural variable symbols.