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строительное дело
двухступенчатый (двухслойный) фильтр
общая лексика
съемочный светофильтр
общая лексика
веерный фильтр
медицина
клиновидный фильтр
нефтегазовая промышленность
клинообразный фильтр
оптика
светофильтр
общая лексика
оптический фильтр
математика
частотный фильтр
In mathematics, a filter or order filter is a special subset of a partially ordered set (poset). Filters appear in order and lattice theory, but can also be found in topology, from which they originate. The dual notion of a filter is an order ideal.
Filters on sets were introduced by Henri Cartan in 1937 and as described in the article dedicated to filters in topology, they were subsequently used by Nicolas Bourbaki in their book Topologie Générale as an alternative to the related notion of a net developed in 1922 by E. H. Moore and Herman L. Smith. Order filters are generalizations of this notion from sets to the more general setting of partially ordered sets. For information on order filters in the special case where the poset consists of the power set ordered by set inclusion, see the article Filter (set theory).