reflexive relation

One example of a reflexive relation is "is equal to".

Another construction must be used to express this kind of reflexive relation.)

A reflexive relation is said to have the reflexive property.

The complement of a reflexive relation is irreflexive and vice versa.

The number of irreflexive relations is the same as that of reflexive relations.

Every reflexive relation is dense.

For example, "greater than or equal to" is a reflexive relation but "greater than" is not.

In mathematics, a reflexive relation is a binary relation on a set for which every element is related to itself.

(7) expresses Leibniz's indiscernibility of identicals, and (8) asserts that identity is a reflexive relation.

This is a reflexive relation on any semigroup, and if S is regular it coincides with the Nambooripad order.

Every reflexive relation on a nonempty domain has infinite descending chains, because any constant sequence is a descending chain.

'Examples of reflexive relations include:"'

If a relation is Euclidean and reflexive relation, it is also symmetric and transitive.

If we also grant that all thermodynamic systems are in thermal equilibrium with themselves, then thermal equilibrium is also a reflexive relation.

Nouns can take affixes of possession, reflexive relation, independent state (absolutive suffix), number, and exclusion, as well as agentives and nominalizing formatives.

The reflexive closure of a binary relation on a set S is the smallest reflexive relation on S which is a superset of .

Jones loves himself, blames himself, is his own severest critic, is conscious of what he is doing, etc. are all examples of reflexive relations which have no pluralist import.

In the more abstract setting of incidence geometry, which is a set having a symmetric and reflexive relation called incidence defined on its elements, a flag is a set of elements that are mutually incident.

The second is an attempt to demonstrate that relational properties presuppose the existence of non-relational properties of one kind or another, but that the converse is not necessarily true (a possible exception being some reflexive relations).

It is common in some subsets of the English-speaking population to use standard object pronouns to express reflexive relations, especially in the first and sometimes second persons, and especially for a recipient: for example, "I want to get me some supper."

The Territorialist approach intends to combine these three objectives, according priority to "place-consciousness", i.e. a reflexive relation with local identity and heritage (with reference to the themes of bio-regionalism dealt with by Patrick Geddes), viewed as the strategic keys for a sustainable future.

In other words, a relation on a set S is reflexive when x x holds true for every x in S. An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself.