binary relation

(redirected from Homogeneous relation)

binary relation

n. Mathematics
A set of assignments from one set to itself or to another set. For example, "less than" is a binary relation from the set of real numbers to itself in which 3 is assigned to 4 (because 3 < 4), but 4 is not assigned to 3 (because 4 > 3).
References in periodicals archive ?
The negative price-earnings relation for firms that report losses, as reported by Jan and Ou (1995) and documented by Burgstahler and Dichev (1997) and Kothari and Aimmerman (1995), raises questions about the validity of the assumption of a positive and homogeneous relation between price and earnings, as expressed by the simple earnings capitalization model.
The mixed results of the estimated coefficient on earnings is another indication that the assumption that there is a positive and homogeneous relation between price and earnings is doubtful, even within the same industry group.
We deal with quadratic algebras generated in degree one, that is, algebras given by homogeneous relations of degree 2: