IEVref:102-01-08ID:
Language:enStatus: Obsolete
Term: equivalence relation
Synonym1: equivalence
[Preferred]
Synonym2:
Synonym3:
Symbol:
Definition: binary relation ℛ between elements a and b of a given set having the following properties:

  • reflexivity: aℛa,

  • symmetry: if aℛb then bℛa,

  • transitivity: if aℛb and bℛc then aℛc for any elements a, b and c of the given set

NOTE Examples are the equality of elements of a set, the parallelism of straight lines in a point space, the relation between integers whose difference is even.


Publication date:2007-08
Source
Replaces:
Internal notes:2017-06-02: Cleanup - Remove Attached Image 102-01-08en.gif
CO remarks:
TC/SC remarks:
VT remarks:
Domain1:
Domain2:
Domain3:
Domain4:
Domain5: