Some articles on relation, relations:
List Of First-order Theories - Equivalence Relations
... The signature of equivalence relations has one binary infix relation symbol ~, no constants, and no functions ... Equivalence relations satisfy the axioms Reflexivity ∀x x~x Symmetry ∀x ∀y x~y → y~x Transitivity ∀x ∀y ∀z (x~y ∧ y~z) → x~z ... Some first order properties of equivalence relations are ~ has an infinite number of equivalence classes ~ has exactly n equivalence classes (for any fixed positive integer n) All equivalence classes are ...
... The signature of equivalence relations has one binary infix relation symbol ~, no constants, and no functions ... Equivalence relations satisfy the axioms Reflexivity ∀x x~x Symmetry ∀x ∀y x~y → y~x Transitivity ∀x ∀y ∀z (x~y ∧ y~z) → x~z ... Some first order properties of equivalence relations are ~ has an infinite number of equivalence classes ~ has exactly n equivalence classes (for any fixed positive integer n) All equivalence classes are ...
Transpose Graph - Related Concepts
... The inverse relation of a binary relation is the relation that reverses the ordering of each pair of related objects ... If the relation is interpreted as a directed graph, this is the same thing as the transpose of the graph ...
... The inverse relation of a binary relation is the relation that reverses the ordering of each pair of related objects ... If the relation is interpreted as a directed graph, this is the same thing as the transpose of the graph ...
Relation - Other Uses
... treats the state of a quantum system as being observer-dependent, that is, the state is the relation between the observer and the system Relation (journal), the first newspaper ...
... treats the state of a quantum system as being observer-dependent, that is, the state is the relation between the observer and the system Relation (journal), the first newspaper ...
Generic Data Model - Overview
... For example, a generic data model may define relation types such as a 'classification relation', being a binary relation between an individual thing and a kind of thing (a class) and ... this allows the classification of any individual thing and to specify part-whole relations for any individual object ... By standardisation of an extensible list of relation types, a generic data model enables the expression of an unlimited number of kinds of facts and will approach ...
... For example, a generic data model may define relation types such as a 'classification relation', being a binary relation between an individual thing and a kind of thing (a class) and ... this allows the classification of any individual thing and to specify part-whole relations for any individual object ... By standardisation of an extensible list of relation types, a generic data model enables the expression of an unlimited number of kinds of facts and will approach ...
More definitions of "relation":
- (noun): A person related by blood or marriage.
Synonyms: relative
- (noun): An act of narration.
Example: "He was the hero according to his own relation"
Synonyms: telling, recounting
- (noun): (law) the principle that an act done at a later time is deemed by law to have occurred at an earlier time.
Example: "His attorney argued for the relation back of the ammended complaint to the time the initial complaint was filed"
Synonyms: relation back
- (noun): An abstraction belonging to or characteristic of two entities or parts together.
- (noun): (usually plural) mutual dealings or connections among persons or groups.
Example: "International relations"
Famous quotes containing the word relation:
“The instincts of the ant are very unimportant, considered as the ant’s; but the moment a ray of relation is seen to extend from it to man, and the little drudge is seen to be a monitor, a little body with a mighty heart, then all its habits, even that said to be recently observed, that it never sleeps, become sublime.”
—Ralph Waldo Emerson (1803–1882)
“You know there are no secrets in America. It’s quite different in England, where people think of a secret as a shared relation between two people.”
—W.H. (Wystan Hugh)
“Every word was once a poem. Every new relation is a new word.”
—Ralph Waldo Emerson (1803–1882)