poset
Not valid in Scrabble
It's a recognised English word, but it isn't in the official NASPA Scrabble word list.
- Scrabble points
- 7
- Words With Friends
- 8
- Letters
- 5
/ˈpəʊsɛt/
Definition of poset
1 sense · 1 part of speech · etymology included
noun
-
A partially ordered set.
“1973, Barbara L. Osofsky, Homological Dimensions of Modules, American Mathematical Society, →ISBN, page 76, 42. Definition. A poset (partially ordered set) (X, ≤) (usually written just X) is a set X together with a transitive, antisymmetric relation ≤ on X. 43. Definition. A linearly ordered set or chain is a poset (X, ≤), such that ∀a, b ∈ X, either a ≤ b or b ≤ a or a = b.”
“The combinatorial interest in posets is largely due to two unoriented graphs associated with a given poset: the comparability graph (which we shall not consider here) and the covering graph.”
Definitions from Wiktionary, CC BY-SA.
Etymology
Abbreviation of partially ordered set. Coined by American mathematician Garrett Birkhoff in his Lattice Theory.
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