What is the difference between relation and arity?

relation | arity |

As nouns the difference between relation and arity

is that relation is the manner in which two things may be associated while arity is (logic|mathematics|computer science) the number of arguments or operands a function or operation takes for a relation, the number of domains in the corresponding cartesian product.

relation

English

Noun

(en noun)
• The manner in which two things may be associated.
• :
• *
• *:Carried somehow, somewhither, for some reason, on these surging floods, were these travelers, of errand not wholly obvious to their fellows, yet of such sort as to call into query alike the nature of their errand and their own relations . It is easily earned repetition to state that Josephine St. Auban's was a presence not to be concealed.
• A member of one's family.
• :
• The act of relating a story.
• :
• A set of ordered tuples.
• *
• *:Signs are, first of all, physical things: for example, chalk marks on a blackboard, pencil or ink marks on paper, sound waves produced in a human throat. According to Reichenbach, "What makes them signs is the intermediary position they occupy between an object and a sign user, i.e., a person." For a sign to be a sign, or to function as such, it is necessary that the person take account of the object it designates. Thus, anything in nature may or may not be a sign, depending on a person's attitude toward it. A physical thing is a sign when it appears as a substitute for, or representation of, the object for which it stands with respect to the sign user. The three-place relation' between sign, object, and sign user is called the ''sign '''relation''''' or '''''relation of denotation .
• (lb) Specifically , a set of ordered pairs.
• :
• (lb) A set of ordered tuples retrievable by a relational database; a table.
• :
• (lb) A statement of equality of two products of generators, used in the presentation of a group.
• The act of intercourse.
• Synonyms

* (way in which two things may be associated) connection, link, relationship * (sense, member of one's family) relative * (act of relating a story) recounting, telling * correspondence * See also

Hyponyms

* (set theory) function

Derived terms

* blood relation * close relation * direct relation * distant relation * equivalence relation * friends and relations * indirect relation * inverse relation * shirttail relation * relations * relationship

* * ----

arity

English

Noun

(wikipedia arity) (arities)
• (logic, mathematics, computer science) The number of arguments or operands a function or operation takes. For a relation, the number of domains in the corresponding Cartesian product.