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)

    I only desire sincere relations with the worthiest of my acquaintance, that they may give me an opportunity once in a year to speak the truth.
    Henry David Thoreau (1817–1862)