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- Partially_ordered_set abstract "In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set. A poset consists of a set together with a binary relation that indicates that, for certain pairs of elements in the set, one of the elements precedes the other. Such a relation is called a partial order to reflect the fact that not every pair of elements need be related: for some pairs, it may be that neither element precedes the other in the poset.Thus, partial orders generalize the more familiar total orders, in which every pair is related. A finite poset can be visualized through its Hasse diagram, which depicts the ordering relation.A familiar real-life example of a partially ordered set is a collection of people ordered by genealogical descendancy. Some pairs of people bear the descendant-ancestor relationship, but other pairs bear no such relationship.".
- Partially_ordered_set thumbnail Hasse_diagram_of_powerset_of_3.svg?width=300.
- Partially_ordered_set wikiPageID "23572".
- Partially_ordered_set wikiPageRevisionID "606246830".
- Partially_ordered_set hasPhotoCollection Partially_ordered_set.
- Partially_ordered_set subject Category:Mathematical_relations.
- Partially_ordered_set subject Category:Order_theory.
- Partially_ordered_set comment "In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering, sequencing, or arrangement of the elements of a set. A poset consists of a set together with a binary relation that indicates that, for certain pairs of elements in the set, one of the elements precedes the other.".
- Partially_ordered_set label "Conjunto parcialmente ordenado".
- Partially_ordered_set label "Conjunto parcialmente ordenado".
- Partially_ordered_set label "Częściowy porządek".
- Partially_ordered_set label "Partially ordered set".
- Partially_ordered_set label "Partiële orde".
- Partially_ordered_set label "Poset".
- Partially_ordered_set label "Relazione d'ordine".
- Partially_ordered_set label "Частично упорядоченное множество".
- Partially_ordered_set label "مجموعة مرتبة جزئيا".
- Partially_ordered_set label "偏序关系".
- Partially_ordered_set label "順序集合".
- Partially_ordered_set sameAs Uspořádaná_množina.
- Partially_ordered_set sameAs Conjunto_parcialmente_ordenado.
- Partially_ordered_set sameAs Poset.
- Partially_ordered_set sameAs Relazione_d'ordine.
- Partially_ordered_set sameAs 順序集合.
- Partially_ordered_set sameAs 부분순서.
- Partially_ordered_set sameAs Partiële_orde.
- Partially_ordered_set sameAs Częściowy_porządek.
- Partially_ordered_set sameAs Conjunto_parcialmente_ordenado.
- Partially_ordered_set sameAs m.05w8k.
- Partially_ordered_set sameAs Q474715.
- Partially_ordered_set sameAs Q474715.
- Partially_ordered_set wasDerivedFrom Partially_ordered_set?oldid=606246830.
- Partially_ordered_set depiction Hasse_diagram_of_powerset_of_3.svg.
- Partially_ordered_set isPrimaryTopicOf Partially_ordered_set.
