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What (who) is directed - definition
WIKIMEDIA DISAMBIGUATION PAGE
Directing; Directors; Directer; Directed; Director (disambiguation); Directress; Directorship; The Director; Director (LP); Director (album); Director (creative work)
Directed
·Impf & ·p.p. of Direct.
Directed set
NONEMPTY SET; GENERALIZATION OF NONEMPTY TOTALLY ORDERED SETS
Upward directed set; Upward-directed set; Directed preorder; Filtered set; Directed subset
In mathematics, a directed set (or a directed preorder or a filtered set) is a nonempty set A together with a reflexive and transitive binary relation \,\leq\, (that is, a preorder), with the additional property that every pair of elements has an upper bound.Kelley, p.
directed set
NONEMPTY SET; GENERALIZATION OF NONEMPTY TOTALLY ORDERED SETS
Upward directed set; Upward-directed set; Directed preorder; Filtered set; Directed subset
<theory> A set X is directed under some relation, <= (less
than or equal), if it is non-empty and if for any two elements
x and y there exists an element z such that x <= z and y <= z.
I.e. all pairs have an upper bound.
(1994-11-11)
Examples of use of directed
1. "All this anger is directed against Zyazikov but it could easily be directed against the Ossetians.
2. When my landlady complained, she was directed to the haulage company, which directed her to the haulage companys insurers, which directed her back to the store.
3. Benedict‘s first comments were directed at Africa.
4. She wrote, devised, produced and directed productions.
5. He previously directed the judicial police division.