# Unary Relation

A Unary Relation is a finitary relation that requires one relation argument.

**Context:**- It can be:

**Example(s):**- Positive Number Relation(
*x*) ⇒ True If [math]x[/math] > 0; False otherwise. - Homonymy Relation(Word(
*x*)) ⇒ Concept Set. - …

- Positive Number Relation(
**Counter-Example(s):**- a Binary Relation.
- an n-Ary Relation.

**See:**Unary Function, Unary Operation.

## References

### 2009

- (Wikipedia, 2009) ⇒ http://en.wikipedia.org/wiki/Relation_(mathematics)
- In mathematics, especially set theory, and logic, a relation is a property that assigns truth values to combinations (k-tuples) of k individuals. ...
- Since there is only one 0-tuple, the so-called empty tuple, there are only two zero-place relations, one for the property "is a 0-tuple", and one for its negation ("is not a 0-tuple"). One-place relations are called unary relations. For instance, any set (such as the collection of Nobel laureates) can be viewed as a collection of individuals having some property (such as that of having been awarded the Nobel prize). Two-place relations are called binary relations or dyadic relations. The latter term has historic priority. Binary relations are very common, given the ubiquity of relations such as: Equality and inequality, divisor of, and set membership.