## symmetric relation

Overview page. Subjects: Computing.

A binary relation ∼ on a set *S* is symmetric if, for all *a* and *b* in *S*, whenever *a* ∼ *b* then *b* ∼ *a*.

## symmetric relation

in** The Oxford Companion to Philosophy**

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 89 words.

A binary, i.e. two-term, relation is symmetric, or symmetrical, when it holds both ways if at all, i.e. if it

## symmetric relation

in** The Concise Oxford Dictionary of Mathematics**

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 28 words.

A *binary relation ∼ on a set *S* is symmetric if, for all *a* and *b* in *S*,

## symmetric relation

in** The Concise Oxford Dictionary of Mathematics**

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 29 words.

A *binary relation ∼ on a set *S* is symmetric if, for all *a* and *b* in *S*, whenever ...

## symmetric relation

Overview page. Subjects: Computing.

A binary relation ∼ on a set *S* is symmetric if, for all *a* and *b* in *S*, whenever *a* ∼ *b* then *b* ∼ *a*.

## non-symmetric (of a relation)

in** The Concise Oxford Dictionary of Mathematics**

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 58 words.

Not *symmetric, or *asymmetric, or *antisymmetric. The relation has to hold for some pairs

## non‐symmetric ((of a relation))

in** The Concise Oxford Dictionary of Mathematics**

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 61 words.

Not *symmetric, or *asymmetric, or *antisymmetric. The relation has to hold for some pairs in both orders, and hold for only one order for some other pairs, i.e. there exist elements ...

null...## symmetric relation

in** A Dictionary of Computer Science**

January 2016; p ublished online January 2016 .

Reference Entry. Subjects: Computing. 50 words.

A *relation *R* defined on a set *S* and having the property thatwheneverxRytheny...

## symmetric relation

in** A Dictionary of Computing**

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Computing. 54 words.

A *relation *R* defined on a set *S* and having the property thatwhenever x R

## Symmetric Chain Decomposition for Cyclic Quotients of Boolean Algebras and Relation to Cyclic Crystals

in** International Mathematics Research Notices**

January 2013; p ublished online January 2012 .

Journal Article. Subjects: Mathematics. 3439 words.

The quotient of a Boolean algebra by a cyclic group is proved to have a symmetric chain decomposition. This generalizes earlier work of Griggs, Killian and Savage on the case of prime...

Go to
** » ** abstract

## equivalence relation

in** The Concise Oxford Dictionary of Mathematics**

January 2014; p ublished online September 2014 .

Reference Entry. Subjects: Pure Mathematics. 62 words.

A *binary relation ~ on a set *S* that is *reflexive, *symmetric and *transitive. For an equivalence relation ~, ...

## equivalence relation

in** A Dictionary of Computing**

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Computing. 46 words.

A *relation that is *transitive, *symmetric, and *reflexive. The concept is a convenient

## equivalence relation

in** The Concise Oxford Dictionary of Mathematics**

January 2009; p ublished online January 2009 .

Reference Entry. Subjects: Pure Mathematics. 56 words.

A *binary relation ~ on a set *S* that is *reflexive, *symmetric and *transitive.

## symmetric

in** The Oxford Dictionary of Philosophy**

January 2016; p ublished online March 2016 .

Reference Entry. Subjects: Philosophy. 30 words.

A *relation is symmetric when if R*xy*, then R*yx*. For example, if a person *x*

## symmetric

in** The Oxford Dictionary of Philosophy**

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Philosophy. 30 words.

A *relation is symmetric when if R*xy*, then R*yx*. For example, if a person *x*

## causal asymmetry

in** The Oxford Companion to Philosophy**

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 189 words.

Causation seems to be an anti symmetrical relation, meaning that if an event *a* is a cause of another event

## equivalence relation

in** The Oxford Dictionary of Philosophy**

January 2016; p ublished online March 2016 .

Reference Entry. Subjects: Philosophy. 129 words.

A *relation which is transitive, symmetric, and reflexive divides its field into exclusive classes of things. Within each class

## equivalence relation

in** The Oxford Dictionary of Philosophy**

January 2008; p ublished online January 2008 .

Reference Entry. Subjects: Philosophy. 129 words.

A *relation which is transitive, symmetric, and reflexive divides its field into exclusive classes of things. Within each class

## equivalence relation

in** The Oxford Companion to Philosophy**

January 2005; p ublished online January 2005 .

Reference Entry. Subjects: Philosophy. 50 words.

An equivalence relation is a binary, i.e. two-term, relation that is transitive, symmetric, and (strongly) reflexive; for

## asymmetric relation

Overview page. Subjects: Computing.

A relation *R* defined on a set *S* and having the property that

whenever *x R y*

then it is never the case that

*y R x*

where *x*null...

## antisymmetric relation

Overview page. Subjects: Computing.

A relation *R* defined on a set *S* and having the property that

whenever *x R y* and *y R x*

then *x* = *y*

where *x* and *y* are arbitrary members of *S*....