Ternary Relation

Herausgegeben:Surhone, Lambert M.; Timpledon, Miriam T.; Marseken, Susan F.

• Broschiertes Buch

Produktbeschreibung

High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations may also be referred to as 3-adic, 3-ary, 3-dimensional, or 3-place. Just as a binary relation is formally defined as a set of pairs, i.e. a subset of the Cartesian product A × B of some sets A and B, so a ternary relation is a set of triples, forming a subset of the Cartesian product A × B × C of three sets A, B and C. A function : A × B C in two variables, taking values in two sets A and B, respectively, is formally a function that associates to every pair (a,b) in A × B an element (a, b) in C. Therefore its graph consists of pairs of the form ((a, b), (a, b)). Such pairs in which the first element is itself a pair are often identified with triples. This makes the graph of a ternary relation between A, B and C, consisting of all triples (a, b, (a, b)), for all a in A and b in B.

Produktdetails

• Verlag: Betascript Publishing
• Seitenzahl: 80
• Englisch
• ISBN-13: 9786131141157
• ISBN-10: 6131141150
• Artikelnr.: 29957136