inverse relation

(redirected from Converse relation)

inverse relation

[¦in‚vərs ri′lā·shən]
(mathematics)
For a relation R, the inverse relation R -1 is the relation such that the ordered pair (x, y) belongs to R -1 if and only if (y, x belongs to R.
References in periodicals archive ?
To see how this is a consequence, let us first note how it is possible to provide a definition of converse in terms of the standard notion of exemplification; for, given any binary relation, we may define a converse relation to be one that holds between the objects a and b just in case the given relation holds between b and a.
But, similarly, the converse relation should correlate a lower-level G in one-many fashion with a range of upper-level properties E through F such that, minimally, it is possible for an instance of G to subserve an instance of E and not F, and on another occasion, F and not E (the system which is an Intel 80486 microprocessor (G) might instantiate the adding function (F) and not the tangent function (E), and vice versa).
First, for any relation there is a converse relation and it is not clear what they would be in these cases.
Are Necessary and Sufficient Conditions Converse Relations ?