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What (who) is distribute$22284$ - definition
LATTICE IN WHICH THE OPERATIONS OF JOIN AND MEET DISTRIBUTE OVER EACH OTHER
Distribute lattice; Distributive lattice/Proofs; Free distributive lattice
![[[Young's lattice]]](https://commons.wikimedia.org/wiki/Special:FilePath/Young's lattice.svg?width=200 "[[Young's lattice]]")
Distributive lattice
In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set union and intersection.
distributive lattice
<theory> A lattice for which the least upper bound (lub)
and greatest lower bound (glb) operators distribute over one
another so that
a lub (b glb c) == (a lub c) glb (a lub b)
and vice versa.
("lub" and "glb" are written in LateX as sqcup and
sqcap).
(1998-11-09)
distribute
WIKIMEDIA DISAMBIGUATION PAGE
Distribution (disambiguation); Distribution theory; Distribute; Distributed; Distributions; Distribution (computing); Worldwide distribution; Distributer; Distributing; Disribute
(distributes, distributing, distributed)
1.
If you distribute things, you hand them or deliver them to a number of people.
Students shouted slogans and distributed leaflets...
In the move most of the furniture was left to the neighbours or distributed among friends.
VERB: V n, be V-ed among n
2.
When a company distributes goods, it supplies them to the shops or businesses that sell them. (BUSINESS)
We didn't understand how difficult it was to distribute a national paper.
VERB: V n
3.
If you distribute things among the members of a group, you share them among those members.
Immediately after his election he began to distribute major offices among his friends and supporters.
= share out
VERB: V n among n, also V n
4.
To distribute a substance over something means to scatter it over it. (FORMAL)
Distribute the topping evenly over the fruit.
= scatter
VERB: V n over n
5.
see also distributed
Wikipedia
Distributive lattice
In mathematics, a distributive lattice is a lattice in which the operations of join and meet distribute over each other. The prototypical examples of such structures are collections of sets for which the lattice operations can be given by set union and intersection. Indeed, these lattices of sets describe the scenery completely: every distributive lattice is—up to isomorphism—given as such a lattice of sets.
