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In mathematics, a relation denotes some kind of relationship between two objects in a set, which may or may not hold. [1] As an example, " is less than " is a relation on the set of natural numbers; it holds, for instance, between the values 1 and 3 (denoted as 1 < 3), and likewise between 3 and 4 (denoted as 3 < 4), but not between the values ...
The terms "arity" and "degree" are used as synonyms. For instance, the relation being larger than has an adicity of two since it involves two entities: a smaller entity and a larger entity. Another example is the relation of being adjacent to. Relations with an adicity of two are called dyadic or binary. [13]
Relation (database) In database theory, a relation, as originally defined by E. F. Codd, [1] is a set of tuples (d 1,d 2,...,d n), where each element d j is a member of D j, a data domain. Codd's original definition notwithstanding, and contrary to the usual definition in mathematics, there is no ordering to the elements of the tuples of a ...
Hypernymy and hyponymy are the semantic relations between a generic term (hypernym) and a specific instance of it (hyponym). The hypernym is also called a supertype, umbrella term, or blanket term. [1][2][3][4] The hyponym is a subtype of the hypernym. The semantic field of the hyponym is included within that of the hypernym. [5]
Semantics studies meaning in language, which is limited to the meaning of linguistic expressions. It concerns how signs are interpreted and what information they contain. An example is the meaning of words provided in dictionary definitions by giving synonymous expressions or paraphrases, like defining the meaning of the term ram as adult male sheep. [22]
Grammatical relation. A tree diagram of English functions. In linguistics, grammatical relations (also called grammatical functions, grammatical roles, or syntactic functions) are functional relationships between constituents in a clause. The standard examples of grammatical functions from traditional grammar are subject, direct object, and ...
International relations, the study of interconnection of politics, economics, and law on a global level. Interpersonal relationship, association or acquaintance between two or more people. Public relations, managing the spread of information to the public. Sexual relations, or human sexual activity. Social relation, in social science, any ...
A predicate is a statement or mathematical assertion that contains variables, sometimes referred to as predicate variables, and may be true or false depending on those variables’ value or values. In propositional logic, atomic formulas are sometimes regarded as zero-place predicates. [1] In a sense, these are nullary (i.e. 0- arity) predicates.