Some articles on relations, relation:
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 ...
... 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 ...
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 ...
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 a 'part-whole ... 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 the capabilities of natural languages ...
... 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 a 'part-whole ... 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 the capabilities of natural languages ...
Relation - Other Uses
... 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 ...
... 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 ...
Famous quotes containing the word relation:
“To criticize is to appreciate, to appropriate, to take intellectual possession, to establish in fine a relation with the criticized thing and to make it one’s own.”
—Henry James (1843–1916)
“Only in a house where one has learnt to be lonely does one have this solicitude for things. One’s relation to them, the daily seeing or touching, begins to become love, and to lay one open to pain.”
—Elizabeth Bowen (1899–1973)