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# relation

/ri lay"sheuhn/, n.
1. an existing connection; a significant association between or among things: the relation between cause and effect.
2. relations,
a. the various connections between peoples, countries, etc.: foreign relations.
b. the various connections in which persons are brought together: business and social relations.
c. sexual intercourse.
3. the mode or kind of connection between one person and another, between an individual and God, etc.
4. connection between persons by blood or marriage.
5. a person who is related by blood or marriage; relative: his wife's relations.
6. the act of relating, narrating, or telling; narration.
7. Law. a principle whereby effect is given to an act done at one time as if it had been done at a previous time.
8. Math.
a. a property that associates two quantities in a definite order, as equality or inequality.
b. a single- or multiple-valued function.
9. in or with relation to, with reference to; concerning: It's best to plan with relation to anticipated changes in one's earnings.
[1350-1400; ME relacion < L relation- (s. of relatio). See RELATE, -ION]
Syn. 1. relationship; tie, link. 2a, 2b. association. 4. relationship, kinship. 6. recitation, recital, description.
Ant. 1. independence.

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I
In logic, a relation R is defined as a set of ordered pairs, triples, quadruples, and so on.

A set of ordered pairs is called a two-place (or dyadic) relation; a set of ordered triples is a three-place (or triadic) relation; and so on. In general, a relation is any set of ordered n-tuples of objects. Important properties of relations include symmetry, transitivity, and reflexivity. Consider a two-place (or dyadic) relation R. R can be said to be symmetrical if, whenever R holds between x and y, it also holds between y and x (symbolically, (∀x) (∀y) [Rxy ⊃ Ryx]); an example of a symmetrical relation is "x is parallel to y." R is transitive if, whenever it holds between one object and a second and also between that second object and a third, it holds between the first and the third (symbolically, (∀x) (∀y) (∀z ) [(Rxy ∧ Ryz) ⊃ Rxz]); an example is "x is greater than y." R is reflexive if it always holds between any object and itself (symbolically, (∀x) Rxx); an example is "x is at least as tall as y" since x is always also "at least as tall" as itself.
II
(as used in expressions)
Einstein's mass energy relation
Labor Management Relations Act
organizational relations

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Universalium. 2010.

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• RELATION — Le concept de relation apparaît comme l’un des concepts fondamentaux du discours rationnel. Il semble lié à la pratique de l’analyse, qui constitue elle même l’un des aspects essentiels de la démarche discursive. L’analyse décompose les unités… …   Encyclopédie Universelle

• relation — Relation. s. f. Rapport d une chose à une autre. Cet article a relation au precedent. ce traité a relation avec celuy qui a esté fait auparavant. ce que vous dites n a aucune relation à la chose, avec la chose dont il s agit. Relation, en termes… …   Dictionnaire de l'Académie française

• Relation — Re*la tion (r? l? sh?n), n. [F. relation, L. relatio. See {Relate}.] 1. The act of relating or telling; also, that which is related; recital; account; narration; narrative; as, the relation of historical events. [1913 Webster] ??????oet s… …   The Collaborative International Dictionary of English

• Relation de un a un — Relation de un à un En gestion de base de données, une relation de un à un détermine que pour chaque enregistrement d une table, il ne peut y avoir que zéro ou un enregistrement d une autre table qui lui soit lié. Il est intéressant d utiliser ce …   Wikipédia en Français

• relation — relation, relationship, relatives As nouns, relation and relative both mean ‘a person related by blood or by marriage’, and both are idiomatic in the plural. For some reason, however, relation is the normal choice in the explicit context of… …   Modern English usage

• Relation — may refer to:*Relation, a person to whom one is related, i.e. a family member (see also Kinship) *Relation (mathematics), a generalization of arithmetic relations, such as = and …   Wikipedia

• relation — I (connection) noun affiliation, affinity, alliance, analogy, applicability, appositeness, apposition, association, bearing, bond, closeness, cognation, comparableness, connation, connaturalness, connexion, correlation, correspondence, homology,… …   Law dictionary

• relation — [ri lā′shən] n. [ME relacion < MFr or L: MFr relation < L relatio: see RELATE] 1. a narrating, recounting, or telling 2. what is narrated or told; account; recital 3. connection or manner of being connected or related, as in thought,… …   English World dictionary

• relation — ► NOUN 1) the way in which two or more people or things are connected or related. 2) (relations) the way in which two or more people or groups feel about and behave towards each other. 3) a relative. 4) (relations) formal sexual intercourse. 5)… …   English terms dictionary

• relation — late 14c., from Anglo Fr. relacioun, O.Fr. relacion (14c.), from L. relationem (nom. relatio) a bringing back, restoring, from relatus (see RELATE (Cf. relate)). Meaning person related by blood or marriage first attested c.1500. Stand alone… …   Etymology dictionary

• Relation — (v. lat. Relatio), 1) (röm. Ant.), Vortrag, welchen der Consul od. Einer der höhern Magistrate im Senat hielt; 2) Verfahren, wo der Unterrichter dem Kaiser die Entscheidung in schwierigen Fällen überließ, bes. bei nöthiger Abweichung vom streugen …   Pierer's Universal-Lexikon