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{{Short description|Type of binary relation}}{{stack|{{Binary relations}}}} A '''symmetric relation''' is a type of [[binary relation]]. Formally, a binary relation ''R'' over a [[Set (mathematics)|set]] ''X'' is symmetric if:{{ref ...

'''Relation''' or '''relations''' may refer to: * [[International relations]], the study of interconnection of politics, economics, and law on a global level ...

{{Short description|A binary relation which never occurs in both directions}} {{Binary relations}} ...

{{Short description|Type of binary relation}} {{stack|{{Binary relations}}}} ...

{{distinguish|text=[[Dependency relation]], which is a binary relation that is symmetric and reflexive}} ...ndence relation''' is a [[binary relation]] which generalizes the relation of [[linear dependence]]. ...

* [[Transitive case]], a grammatical case to mark arguments of a transitive verb * [[Transitive relation]], a binary relation in which if ''A'' is related to ''B'' and ''B'' is related to ''C' ...

[[File:Binary operations as black box.svg|thumb|A binary operation <math>\circ</math> is a rule for combining the arguments <math>x< ...e formally, a binary operation is an [[Operation (mathematics)|operation]] of [[arity]] two. ...

{{Short description|Type of logical relation}} {{for|relations ''R'' where ''<nowiki>x=y</nowiki>'' or ''xRy'' or ''yRx'' for all ''x'' an ...

{{Short description|Category whose objects are sets and whose morphisms are binary relation}} |image1=Relations category.svg ...

...h the number of places in the relation is three. [[wikt:ternary|Ternary]] relations may also be referred to as '''3-adic''', '''3-ary''', '''3-dimensional''', ...forming a subset of the Cartesian product {{nowrap|''A'' × ''B'' × ''C''}} of three sets ''A'', ''B'' and ''C''. ...

{{Short description|Property of elements related by inequalities}} [[File:Infinite lattice of divisors.svg|thumb|[[Hasse diagram]] of the [[natural number]]s, partially ordered by "''x''≤''y'' if ''x'' [[divid ...

...n'', giving the name ''di-cyclic''. In the notation of [[exact sequence]]s of groups, this extension can be expressed as: ...the dicyclic group Dic_''n'' can be defined as the [[subgroup]] of the unit [[quaternion]]s generated by ...

...operator: ∩), and [[set complement]] ([[postfix (linguistics)|postfix]] ') of sets. ...is an [[interpretation (logic)|interpretation]] or [[model theory|model]] of [[Boolean algebra (structure)|Boolean algebra]], with union, intersection, ...

...y given three elements of ''A'' and combines them to form a single element of ''A''. ...'', geometric construction yields ''V'', the projective harmonic conjugate of ''P'' with respect to ''A'' and ''B''.]] ...

{{Short description|Reversal of the order of elements of a binary relation}} ...the converse of the relation 'child&nbsp;of' is the relation 'parent&nbsp;of'. In formal terms, if <math>X</math> and <math>Y</math> are [[Set (mathemat ...

...main of a function|domain]] of definition. Important [[Theory of relations|relations]] can also be defined pointwise. ...function.png|thumb|Pointwise sum (upper plot, violet) and product (green) of the functions [[sine function|sin]] (lower plot, blue) and [[natural logari ...

{{stack|{{Binary relations}}}} ...dering''' on a [[Set (mathematics)|set]] <math>X</math> is a [[homogeneous binary relation]] <math>\,\leq\,</math> on <math>X</math> that satisfies the follo ...

{{Short description|Type of binary relation}} {{stack|{{Binary relations}}}} ...

{{short description|Binary relation that relates every element to itself}} {{Binary relations}} ...

...elational contract]], a contract whose effect is based upon a relationship of trust between the parties * [[Relational calculus]], part of the relational model for databases that provides a declarative way to speci ...