Binary Operation - Binary Operations As Ternary Relations

Binary Operations As Ternary Relations

A binary operation f on a set S may be viewed as a ternary relation on S, that is, the set of triples (a, b, f(a,b)) in S × S × S for all a and b in S.

Read more about this topic:  Binary Operation

Famous quotes containing the words operations and/or relations:

    It may seem strange that any road through such a wilderness should be passable, even in winter, when the snow is three or four feet deep, but at that season, wherever lumbering operations are actively carried on, teams are continually passing on the single track, and it becomes as smooth almost as a railway.
    Henry David Thoreau (1817–1862)

    Consciousness, we shall find, is reducible to relations between objects, and objects we shall find to be reducible to relations between different states of consciousness; and neither point of view is more nearly ultimate than the other.
    —T.S. (Thomas Stearns)