PARTIALLYORDEREDSET

Partially ordered set

In mathematics, especially order theory, a partially ordered set 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.

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partially ordered set

Noun

  1. A set having a specified partial order.
  2. Said set together with said partial order; the ordered pair of said set and said partial order.


The above text is a snippet from Wiktionary: partially ordered set
and as such is available under the Creative Commons Attribution/Share-Alike License.

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